Cost ManagementMeasuring, Monitoring, and Motivating Performance
Chapter 10
Static and Flexible Budgets
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 1
Chapter 10: Static and Flexible Budgets
Learning objectives
•
Q1: How do budgets contribute to the strategic management
process?
•
Q2: What is a master budget and how is it prepared?
•
Q3: What are flexible budgets and how can they be used for
sensitivity analysis?
•
Q4: How are budget variances calculated and used as
performance measures?
•
Q5: How do behavioral tensions influence the budgeting process?
•
Q6: What approaches exist for addressing the problems of
traditional budgeting?
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 2
Q1: Budgets & Strategic Management Process
• A budget is
• A formalized financial plan.
• A translation of an organization’s strategies.
• A method of communicating.
• A way to define areas of responsibility and
decision rights.
• The budget cycle is the series of
sequential steps followed to create and
use budgets.
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 3
Q1: Budgets & Strategic Management Process
• Budgeting process begins with the organizational
vision, core competencies, and risk appetite
• Organizational strategies designed to achieve the
vision will drive the capital expenditures and long
term financing plans
• Operating plans are then created in line with the
organizational strategies
• Actual results must be monitored, measured, and
analyzed compared to budgeted plans
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 4
Q1: Budgets & Levers of Control
Belief Systems
• Communicates
organizational
strategies and
goals
• Motivates
managers to
plan in
advance and
coordinate
activities
© John Wiley & Sons, 2011
Boundary
Systems
Interactive
Control Systems
Diagnostic
Control Systems
• Authorizes
employees to
engage in
planned
activities and
spend within
budget limits
• Ensures
sufficient cash
flow for
financial
viability
• Utilize
variances to
identify
opportunities
and threats to
the business
• Revaluate
strategies and
operating plans
as conditions
changes
• Assign
responsibility
and reward
employees for
achieving
budget targets
• Motivate
managers to
provide good
estimates and
use resources
appropriately
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 5
Q2: Master Budgets
• A master budget is
• A comprehensive plan for the upcoming
accounting period.
• Usually prepared for a one-year period.
• Is based on a series of budget assumptions.
• The master budget consists of several
subsidiary budgets, in two categories:
• Operating budgets.
• Financial budgets.
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 6
Q2: Operating Budgets
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 7
Q2: Operating Budgets
The operating budget is created by preparing
the following individual budgets, in this order:
• Revenue budget
• Production budget
• Direct materials budget
• Direct labor budget
• Manufacturing overhead budget
• Inventory and cost of goods sold budget
• Support department budgets
• Budgeted income statement
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 8
Q2: Financial Budgets
The financial budget is created by preparing
the following individual budgets, in this order:
• Capital budget
• Long-term financing budget
• Cash budget
• Budgeted balance sheet
• Budgeted statement of cash flows
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 9
Q2: Operating Budget Example
Stanley J, Inc., makes a tool used by auto mechanics that sells for
$68/unit. It expects to sell 6,000 units in April and 7,000 units in May.
Stanley J prefers to end each period with a finished goods inventory
equal to 10% of the next period’s sales in units and a direct materials
inventory equal to 20% of the direct materials required for the next
period’s production. The company never has any beginning or ending
work-in-process inventories. There were 400 units in finished goods
inventory on April 1. Prepare the revenue and production budgets for
April.
Production budget
Revenue budget
Budgeted sales in units in April
6,000 Budgeted sales in units in April
Budgeted selling price per unit
$68.00 Desired ending FG inventory
Budgeted revenues
$408,000 Total units required
Less: beginning FG inventory
Required production in units
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
6,000
700
6,700
(400)
6,300
Slide # 10
Q2: Operating Budget Example
Stanley J’s product uses 0.3 pounds of direct material per unit, at a cost
of $4/lb. There were 220 lbs. of direct material on hand on April 1.
Assume that budgeted production for May is 6,500 units. Prepare the
direct materials purchases and usage budget for April.
Direct materials budget
Required production in units
DM required per unit, in pounds
Total DM required, in pounds
Less: Beginning DM inventory
Plus: Desired ending DM inventory
Required DM purchases in pounds
Budgeted DM cost per pound
Budgeted cost of DM
6,300
0.3
1,890
(220)
390
2,060
$4.00
$8,240
Usage Budget = 1,890 pounds * $4 per pound = $7,560
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 11
Q2: Operating Budget Example
Stanley J’s product uses 0.2 hours of direct labor at a cost of $12/hr.
Prepare the direct labor budget for April.
Direct labor budget
Required production in units
DL required per unit, in hours
Total DL hours required
Budgeted cost per DL hour
Budgeted cost of DL
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
6,300
0.2
1,260
$12.00
$15,120
Slide # 12
Q2: Operating Budget Example
Stanley J’s budgeted fixed manufacturing overhead for April is $167,000,
and variable manufacturing overhead is budgeted at $6 per direct labor
hour. Prepare the manufacturing overhead budget for April.
Manufacturing overhead budget
Total DL hours required
Budgeted variable overhead per DL hour
Total budgeted variable overhead
Budgeted fixed overhead
Total budgeted overhead
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
1,260
$6.00
$7,560
$167,000
$174,560
Slide # 13
Q2: Operating Budget Example
Assume that Stanley J’s April 1 direct materials inventory had a cost of
$1,560. Prepare the April ending inventories budget for direct materials.
Ending inventories budgets
Budgeted cost of DM purchases
$8,240
Beginning DM inventory
$854
DM available for use
$9,094
Budgeted cost of desired ending DM inventory:
[6,500 units x 0.3 lbs/unit] x 20% x $4/lb
$1,560
Budgeted cost of DM to be used
$7,534
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 14
Q2: Operating Budget Example
Prepare the April ending inventories budget for finished goods.
Budgeted cost of DM to be used
Budgeted cost of DL
Total budgeted overhead
Total budgeted manufacturing costs
Required production in units
Budgeted manufacturing cost per unit
Budgeted ending FG inventory in units
Budgeted cost of ending FG inventory
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
$7,534
$15,120
$174,560
$197,214
6,300
$31.3037
700
$21,913
Slide # 15
Q2: Operating Budget Example
Assume that Stanley J’s April 1 finished goods inventory had a cost of
$12,146. Prepare the cost of goods sold budget for April.
Cost of goods sold budget
Beginning FG inventory
Total budgeted manufacturing costs
Cost of goods available for sale
Less: budgeted ending FG inventory
Budgeted cost of goods sold
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
$12,146
$197,214
$209,359
$21,913
$187,447
Slide # 16
Q2: Operating Budget Example
Stanley J’s budget for April includes $22,000 for administrative costs,
$34,000 for fixed distribution costs, $18,000 for research and
development, and $13,000 for fixed marketing costs. Additionally, the
budgeted variable costs for distribution are $0.75/unit sold and the
budgeted variable costs for marketing are 4% of sales revenue. Prepare
the support department budget for April.
Support department budget
Administration
$22,000
Distribution: Fixed costs
$34,000
Variable costs
$4,500 $38,500
Research & development
$18,000
Marketing: Fixed costs
$13,000
Variable costs
$16,320 $29,320
Total budgeted support department costs
$107,820
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 17
Q2: Operating Budget Example
Suppose that Stanley J’s income tax rate is 28%. Prepare the budgeted
income statement for April.
Budgeted income statement
Sales revenue
Cost of goods sold
Gross margin
Operating costs:
Administration
Distribution
Research & development
Marketing
Net income before taxes
Income taxes
Net income
© John Wiley & Sons, 2011
$408,000
$187,447
$220,553
$22,000
$38,500
$18,000
$29,320 $107,820
$112,733
$31,565
$81,168
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 18
Q4: Budget Variances
• Managers compare actual results to
budgeted results in order to
• Monitor operations, and
• Motivate appropriate performance.
• Differences between budgeted and
actual results are called budget
variances.
• Variances are stated in absolute value
terms, and labeled as Favorable or
Unfavorable.
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 19
Q4: Budget Variances
• Reasons for budget variances are
investigated.
• The investigation may find:
• Inefficiencies in actual operations that can
be corrected.
• Efficiencies in actual operations that can be
replicated in other areas of the
organization.
• Uncontrollable outside factors that require
changes to the budgeting process.
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 20
Q3: Static Budgets
• A budget prepared for a single level of
sales volume is called a static budget.
• Static budgets are prepared at the
beginning of the year.
• Differences between actual results and
the static budget are called static budget
variances.
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 21
Q3: Flexible Budgets
• A budget prepared for a multiple levels of sales
volume is called a flexible budget.
• Flexible budgets are prepared at the beginning
of the year for planning purposes and at the end
of the year for performance evaluation.
• Flexible budgets are also used for sensitivity
analysis and to manage risk due to uncertainty.
• Differences between actual results and the
flexible budget are called flexible budget
variances.
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 22
Q3, Q4: Flexible Budget Example
Tina’s Trinkets is preparing a budget for 2006. The budgeted selling price
per unit is $10, and total fixed costs for 2006 are estimated to be $5,000.
Variable costs are budgeted at $3/unit. Prepare a flexible budget for the
volume levels 1,000, 1,100, and 1,200 units.
Sales in units
Revenues
Variable costs
Contribution margin
Fixed costs
Operating income
© John Wiley & Sons, 2011
Volume Levels
1,000
1,100
1,200
$10,000 $11,000 $12,000
$3,000 $3,300 $3,600
$7,000 $7,700 $8,400
$5,000 $5,000 $5,000
$2,000 $2,700 $3,400
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 23
Q3, Q4: Static Budget Variances Example
Suppose that Tina’s 2006 static budget was for 1,100 units of sales. The
actual results are given below. Compute the static budget variances for
each row and discuss.
Static
Budget
Sales in units
1,100
Revenues
$11,000
Variable costs
$3,300
Contribution margin $7,700
Fixed costs
$5,000
Operating income
$2,700
© John Wiley & Sons, 2011
Static
Actual Budget
Results Variance
980
$9,604 $1,396 Unfavorable
$2,989
$311 Favorable
$6,615 $1,085 Unfavorable
$4,520
$480 Favorable
$2,095
$605 Unfavorable
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 24
Q3, Q4: Flexible Budget Variances Example
Compute the flexible budget variances for Tina and discuss the results.
Compare the flexible budget variances to the static budget variances on the
prior page.
Year-end
Flexible
Flexible Actual Budget
Budget Results Variance
Sales in units
980
980
Revenues
$9,800 $9,604
$196 Unfavorable
Variable costs
$2,940 $2,989
$49 Unfavorable
Contribution margin $6,860 $6,615
$245 Unfavorable
Fixed costs
$5,000 $4,520
$480 Favorable
Operating income
$1,860 $2,095
$235 Unfavorable
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 25
Q3, Q4: Performance Evaluation
• A static budget variance includes effects from
output volume.
• A flexible budget variance removes these
output volume effects.
• Other adjustments to the year-end flexible
budget may be made for a fair performance
evaluation, such as
• Input price changes outside the control of the
manager under evaluation
• Fixed cost increases outside the control of the
manager under evaluation
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 26
Q5: Behavior Tensions in Budgeting
• Budgets used to evaluate performance and
compensation can create behavioral tension
• Participative budgeting – when managers who are
responsible for the budgets prepare the budget
forecasts
– Can result in budgetary slack – when managers set
targets so low that goals can be met easily (and bonuses
achieved)
• Budget ratcheting – when top managers set targets
– If targets unachievable, this can result in employees
having little motivation to meet targets
• Organizations must watch for budget manipulation
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 27
Q6: Other Budgeting Approaches
• Zero based budgets are prepared without using
past information as justification.
• Rolling budgets are prepared frequently for
overlapping time periods and actual results may be
used to update the budget for the next period.
• Kaizen budgets plan cost reductions over time.
• Activity based budgets use more cost pools and
cost drivers.
• GPK and RCA budgets identify fixed and variable
cost functions at the resource center level.
• Beyond budgeting uses external benchmarks to
evaluate managers’ performance
© John Wiley & Sons, 2011
Chapter 10: Static and Flexible Budgets
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 28
Cost Management
Measuring, Monitoring, and Motivating Performance
Chapter 9
JOINT PRODUCT AND BY-PRODUCT COSTING
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 1
Chapter 9: Joint Product and By-Product Costing
Learning objectives
•
Q1: What is a joint process, and what is the difference between a
by-product and a main product?
•
Q2: How are joint costs allocated?
•
Q3: What factors are considered in choosing a joint cost
allocation method?
•
Q4: What information is relevant for deciding whether to process a
joint product beyond the split-off point?
•
Q5: What methods are used to account for the sale of byproducts?
•
Q6: How does a sales mix affect joint cost allocation?
•
Q7: How do joint cost allocations affect decisions and
managerial incentives?
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 2
Q1: Joint Processes and Costs
• A process that yields one or more products is
called a joint process.
• The products are called joint products.
• The costs of the process are called joint costs.
• The split-off point is the stage in the joint process
where the separate products become
identifiable.
• Joints costs are incurred prior to the split-off point.
• Costs incurred past split-off are separable costs.
• Joint products that have minimal sales value
compared to the main product are called byproducts.
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 3
Q1: Joint Processes and Costs
Sawdust
Bark
Joint costs
include DM,
DL &
Overhead.
© John Wiley & Sons, 2011
Planks
If sawdust sells for a
relatively minimal amount,
it is a byproduct.
The costs of
processing
planks further
are separable
costs.
Wall
paneling
Joint products
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 4
Q2: Methods of Allocating Joint Costs
• Physical output methods
• Can be used only when joint products are
measured the same way (e.g. pounds or feet).
• Market-based methods
• Sales value at split-off method
• Often used when all products sold at split-off.
• Net realizable value (NRV) method
• NRV = Final selling price – Separable costs.
• Constant gross margin (GM) NRV method
• The two NRV methods can be used when
some products are processed past split-off.
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 5
Q2: Physical Volume Method Example
Pleasing Peaches grows peaches and processes three different peach
products that are sold to a canning company. The pounds produced for
each product, and the selling price per pound, is given below. The joint
costs of processing the 280,000 pounds of products were $70,000.
Allocate the joint costs to each product using the physical volume method.
Selling Total Sales
Pounds
Price per
Value at
Product
Produced
Pound
Split-Off
Peach halves 160,000
$0.50
$80,000
Peach slices
80,000
$0.40
$32,000
Peach purée
40,000
$0.30
$12,000
280,000
$124,000
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Relative
Allocated
Weight Joint Costs
57.1%
$40,000
28.6%
$20,000
14.3%
$10,000
100.0%
$70,000
Slide # 6
Q2: Sales Value at Split-Off Method Example
Allocate the joint costs of $70,000 to each of Pleasing Peaches products
using the sales value at split-off method.
Product
Peach halves
Peach slices
Peach purée
© John Wiley & Sons, 2011
Pounds
Produced
160,000
80,000
40,000
280,000
Selling Total Sales
Price per
Value at
Pound
Split-Off
$0.50
$0.40
$0.30
$80,000
$32,000
$12,000
$124,000
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Relative
Sales
Allocated
Value Joint Costs
64.5%
25.8%
9.7%
100.0%
$45,161
$18,065
$6,774
$70,000
Slide # 7
Q2, 6: Compare the Physical Volume and
Sales Value at Split-Off Methods
Compute the gross margin for each product for each of the two allocation
methods. Discuss the differences between the two methods.
Allocated Joint
Costs
Total
Sales
Sales
Physical Value at
Value at Volume Split-Off
Product
Split-Off Method
Method
Peach halves $80,000 $40,000 $45,161
Peach slices
$32,000 $20,000 $18,065
Peach purée
$12,000 $10,000 $6,774
$124,000 $70,000 $70,000
© John Wiley & Sons, 2011
Gross Margin
Sales
Physical Value at
Volume Split-Off
Method
Method
$40,000 $34,839
$12,000 $13,935
$2,000 $5,226
$54,000 $54,000
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 8
Q2, 6: Compare the Physical Volume and
Sales Value at Split-Off Methods
Compute the gross margin ratio (GM/Sales) for each product under both of
the methods and discuss.
Product
Peach halves
Peach slices
Peach purée
© John Wiley & Sons, 2011
Total
Sales
Value at
Split-Off
$80,000
$32,000
$12,000
$124,000
Gross Margin
Sales
Physical Value at
Volume
Split-Off
Method
Method
$40,000 $34,839
$12,000 $13,935
$2,000 $5,226
$54,000 $54,000
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Gross Margin Ratio
Sales
Physical Value at
Volume Split-Off
Method
Method
50.0%
43.5%
37.5%
43.5%
16.7%
43.5%
43.5%
43.5%
Slide # 9
Q2: Net Realizable Value (NRV) Method Example
Pleasing Peaches could process each of its three products beyond split off.
It could can the peach halves itself, make the peach slices into frozen
peach pie, and make juice out of the peach purée. The retail value of the
new products and the separable costs for the additional processing are
given below. Compute the joint costs allocated to each of the products
using the NRV method.
Final
Allocated
Sales Separable
Relative
Joint
Product
Value
Costs
NRV NRV
Costs
Canned peaches $180,000 $60,000 $120,000
64.2% $44,920
Peach pie
$120,000 $70,000
$50,000
26.7% $18,717
Peach juice
$50,000 $33,000
$17,000
9.1% $6,364
$350,000 $163,000 $187,000 100.0% $70,000
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 10
Q2: Constant GM NRV Method
• Under the constant GM NRV method, all products
are allocated joint costs to achieve the same gross
margin ratio (GM%).
• First compute overall gross margin and GM%:
GM = Revenue – Joint costs – Separable costs
GM% = GM/Sales
• Then compute the GM for each product:
GM = Final sales value x GM%
• All products end up with the same gross margin ratio;
for each product solve for allocated joint costs:
Final sales value – joint costs – separable costs = GM
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 11
Q2: Constant GM NRV Method Example
Compute the joint costs that Pleasing Peaches would allocate to each of
the products using the constant GM NRV method.
First compute the overall GM and GM ratio:
GM = $350,000 – $163,000 – $70,000 = $117,000
GM% = $117,000/$350,000 = 33.43%
Allocated
Final
Sales Separable
Joint Gross
Product
Value
Costs
Costs Margin
Canned peaches $180,000 $60,000
$59,829 $60,171
Peach pie
$120,000 $70,000
$9,886 $40,114
Peach juice
$50,000 $33,000
$286 $16,714
$350,000 $163,000
$70,000 $117,000
Gross
Margin
Ratio
33.4%
33.4%
33.4%
Values are rounded as appropriate.
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 12
Q2, 6: Compare the NRV and
Constant GM NRV Methods
Compute the gross margin (GM) and the gross margin ratio (GM%) for each
product under NRV method. Compare this to the results of the constant
GM NRV method and discuss.
Product
Peach halves
Peach slices
Peach purée
Final
Sales
Value
$180,000
$120,000
$50,000
$350,000
Gross Margin
Gross Margin Ratio
Constant
Constant
NRV
GM NRV
NRV
GM NRV
Method
Method Method
Method
$75,080
$60,171
41.7%
33.4%
$31,283
$40,114
26.1%
33.4%
$10,636
$16,714
21.3%
33.4%
33.4%
$117,000 $117,000
33.4%
Values are rounded as appropriate.
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 13
Q3: Choosing a Joint Cost Allocation Method
• Allocated joint costs should not be used in
decision making.
• Still, avoid a method that shows one product
to be unprofitable.
• Under the physical volume method, the
product with the greatest relative physical
volume is allocated the most joint costs,
regardless of product’s sales value.
• Both of the NRV methods allocate joint
costs based on the products’ “ability to
bear the cost”.
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 14
Q4: Sell or Process Further Decisions
• Companies often can choose to sell a product
at the split-off point or to process it further.
• Compare the incremental revenue of
processing further to the product’s separable
costs.
• Incremental revenue of processing further
= Final sales value – Sales value at split-off
• Process further only when the incremental
revenue exceeds the separable costs.
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 15
Q4: Sell or Process Further Example
Peg’s Plastic Products makes the molded plastic parts for three model car
kits, A, B & C from a joint production process. The joint costs of this
process are $150,000. In each case, Peg could decide to make the entire
kit rather than just the plastic parts. Information about the sales values and
separable costs for each kit is given below. Determine which kits Peg
should sell at the split-off point and which she should process further.
Kit
A
B
C
Final
Sales
SepIncreSales
Value at arable
mental
Value
Split-Off Costs Revenue
$200,000 $180,000 $25,000 $20,000
$120,000 $60,000 $40,000 $60,000
$80,000 $40,000 $10,000 $40,000
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
IncreSell at
mental Split-Off
Profit if
or
Process Process
Further Further?
($5,000) Sell
$20,000 Process
$30,000 Process
Slide # 16
Q5: Accounting for By-Products
• When by-products have no sales value, there
is no reason to account for them.
• Otherwise, there are two accounting methods
available:
• Recognize by-product value at time of
production
• Recognize by-product value at time of
by-product sale
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 17
Q5: Recognize By-Product Value
at Time of Production
• This method is also known as the offset approach or
the NRV approach.
• Joint cost of the main products is reduced by the
NRV of the by-products, even if by-products are not
yet sold.
• NRV of the by-products is kept in ending
inventory until sold.
• At sale of by-product, ending inventory is
reduced; there is no gain/loss on sale.
• This method allows managers to control by-products.
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 18
Q5: By-Product Value Recognized
at Time of Production Example
SJ Enterprises produces a main product and one by-product in a joint
process. The joint costs totaled $480,000. The main product sells for
$10/unit and the by-product sells for $1/unit. Information about the
production and sales of the 2 products is given below. Use the NRV
method to compute the production cost per unit for the main product.
Information in Units of Each Product
Beginning ProdEnding
Inventory uction Sales Inventory
Main product
0 100,000 95,000
5,000
By-product
0 10,000 3,000
7,000
Production costs
$480,000
Less: NRV of by-product
10,000
Net joint product cost
$470,000
Net product cost per unit
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
$4.70
Slide # 19
Q5: By-Product Value Recognized
at Time of Production Example
Prepare an income statement for SJ Enterprises and compute the costs
attached to ending inventory using the NRV method, assuming that nonmanufacturing costs totaled $250,000.
Revenue: 95,000 units at $10/unit
$950,000
Cost of goods sold: 95,000 units at $4.70/unit 446,500
Gross margin
503,500
Less: nonmanufacturing expenses
250,000
Operating income
$253,500
Ending inventory:
Main product: 5,000 units at $4.70
By-product: 7,000 units at $1
Value of ending inventory for balance sheet
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
$23,500
7,000
$30,500
Slide # 20
Q5: Recognize By-Product Value
at Time of Sale
• This method is also known as the Realized Value
Approach or the RV Approach.
• Joint cost of the main products is not reduced by
the NRV of the by-products, regardless if byproducts are sold.
• NRV of the by-products is not kept in ending
inventory.
• At sale of by-product, either Other Income is
recorded or Cost of Goods Sold is reduced.
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 21
Q5: By-Product Value Recognized
at Time of Sale Example
SJ Enterprises produces a main product and one by-product in a joint
process. The joint costs totaled $480,000. The main product sells for
$10/unit and the by-product sells for $1/unit. Information about the
production and sales of the 2 products is given below. Use the RV method
to compute the production cost per unit for the main product.
Information in Units of Each Product
Beginning ProdEnding
Inventory uction Sales Inventory
Main product
0 100,000 95,000
5,000
By-product
0 10,000 3,000
7,000
Production costs
Net product cost per unit
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
$480,000
$4.80
Slide # 22
Q5: By-Product Value Recognized
at Time of Sale Example
Prepare an income statement for SJ Enterprises and compute the costs
attached to ending inventory using the RV method, assuming that nonmanufacturing costs totaled $250,000. By-product sales is recorded as
other income.
Revenue: 95,000 units at $10/unit
$950,000
By-product sales: 3,000 units at $1/unit
3,000
Total revenue
953,000
Cost of goods sold: 95,000 units at $4.80/unit 456,000
Gross margin
497,000
Less: nonmanufacturing expenses
250,000
Operating income
$247,000
Ending inventory:
Main product: 5,000 units at $4.80
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
$24,000
Slide # 23
Q7: Decision Making & Joint Cost
• Joint cost information is required for
financial statement & tax return preparation
when production does not equal sales
(inventory and cost of goods sold).
• Allocated joint costs are irrelevant for most
decisions, especially regarding individual
products
• Joint cost information should not be
used to make product mix decisions.
© John Wiley & Sons, 2011
Chapter 9: Joint Product and By-Product Costing
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 24
Cost Management
Measuring, Monitoring, and Motivating Performance
Chapter 7
Activity-Based Costing and
Management
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 1
Chapter 7: Activity-Based Costing and
Management
Learning objectives
•
Q1: What is activity-based costing (ABC)?
•
Q2: What are activities and how are they identified?
•
Q3: What process is used to assign costs in an ABC system?
•
Q4: What is activity-based management?
•
Q5: What are GPK and RCA?
•
Q6: How does information from ABC, GPK, and RCA affect
managers’ incentives and decisions?
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 2
Q1: Activity-Based Costing (ABC)
• ABC is a method of cost system refinement.
• Indirect costs are divided into “sub-pools” of
costs of activities.
• Activity costs are then allocated to the final cost
objects using a cost allocation base (more
commonly called cost drivers in ABC).
• Activities are measurable, making it more likely
that cost drivers can be found so that a final cost
object will absorb indirect costs in proportion to
its use of the activity.
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 3
Q1: Traditional Costing vs. ABC
Traditional costing systems:
Indirect
Costs
Indirect costs are
grouped into one (or a
small number) of cost
pools; a cost allocation
base assigns costs to
the individual products
© John Wiley & Sons, 2011
Product A
Direct Costs
Product B
Direct Costs
Product C
Direct Costs
The individual
products are
the final cost
objects.
Direct costs are
traced to the
individual
products.
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 4
Q1: Traditional Costing Systems
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 5
Q1: Traditional Costing vs. ABC
Activity-based costing systems:
Activity 1
Indirect
Costs
Activity 2
Product A
Direct Costs
Product B
Direct Costs
Product C
Direct Costs
Activity 3
Indirect costs are
assigned (traced &
allocated) to various
pools of activity costs.
© John Wiley & Sons, 2011
Activity costs are
allocated to
products
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
The individual products
are the final cost objects
& direct costs are traced
to the individual products.
Slide # 6
Q1: ABC Costing Systems
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 7
Q2: What are Activities and How are They
Identified?
The ABC cost hierarchy includes the following activities:
• organization-sustaining – associated with overall
organization
• facility-sustaining – associated with single manufacturing
plant or service facility
• customer-sustaining – associated with a single customer
• product-sustaining – associated with product lien or
single product
• batch-level – associated with each batch of product
• unit-level – associated with each unit produced
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 8
Q2: ABC Cost Hierarchy Example
Some of the costs incurred by the Dewey Chargem law firm are listed
below. This firm specializes in immigration issues and family law. For each
cost, identify whether the cost most likely relates to a(n) (1) organiz-ationsustaining, (2) facility-sustaining, (3) customer-sustaining, (4) productsustaining, (5) batch-level, or (6) unit-level activity and explain your choice.
Cost
Cost Hierarchy Level
Bookkeeping software
Salary for partner in charge of family law
Office supplies
Subscription to family law update journal
Telephone charges for local calls
Long distance telephone charges
Window washing service
Salary of receptionist
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 9
Q3: What Process is Used to Assign Costs in an
ABC system?
1. Identify the relevant cost object.
2. Identify activities and group homogeneous
activities.
3. Assign costs to the activity cost pools.
4. Choose a cost driver for each activity cost
pool.
5. Calculate an allocation rate for each
activity cost pool.
6. Allocate activity costs to the final cost
object.
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 10
Q3: How Are Cost Drivers Selected for
Activities?
• For each activity, determine its place
in the ABC cost hierarchy.
• Look for drivers that have a good
cause-and-effect relationship with the
activities’ costs.
• Use a reasonable driver when there is
no cause-and-effect relationship.
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 11
Q3: ABC in Manufacturing Example
Alphabet Co. makes products A & B. Product A is a low-volume
specialty item and B is a high-volume item. Estimated factory- wide
overhead is $800,000, and the number of DL hours for the year is
estimated to be 50,000 hours. DL costs are $10/hour. Each product
uses 2 DL hours. Compute the traditional cost of each product if
Products A & B use $25 and $10 in direct materials, respectively.
First, compute the estimated overhead rate:
Estimated overhead rate = $800,000/50,000 hours = $16/hour.
Direct materials
Direct labor (2hrs @ $10)
Overhead (2 hrs @ $16)
© John Wiley & Sons, 2011
Product A
$25
20
32
$77
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Product B
$10
20
32
$62
Slide # 12
Q3: ABC in Manufacturing Example
Alphabet Co. is implementing an ABC system. It estimated the costs
and activity levels for the upcoming year shown below.
Estimated Estimated Activity Levels
Costs
Prod. A Prod. B
Total
Machine set-ups
$200,000 3,000 2,000 5,000
Inspections
140,000
500
300
800
Materials handling
80,000
400
400
800
Machining dep’t
320,000 12,000 28,000 40,000
Quality control dep’t
60,000
600
150
750
$800,000
Cost Driver
# set-ups
# inspections
# mat’l requistions
# machine hours
# tests
First, compute the estimated overhead rate for each activity:
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 13
Q3: ABC in Manufacturing Example
Estimated
Costs
Estimated Activity
Overhead Rate
$40
Machine set-ups
$200,000 5,000 set-ups
$40/setup
/setup
$175
Inspections
140,000
800 inspections
$175/inspection
/inspection
Materials handling
80,000
800 mat’l requistions $100
$100/requisition
/requisition
$8
Machining dep’t
320,000 40,000 machine hours
$8/mach
/machhrhr
$80
Quality control dep’t
60,000
750 tests
$80/test
/test
$800,000
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 14
Q3: ABC in Manufacturing Example
Alphabet recently completed a batch of 100 As and a batch of 100 Bs.
Direct material and labor costs were as budgeted. Information about each
batch’s use of the cost drivers is given below. Compute the overhead
allocated to each unit of A and B.
100 As 100 Bs
Machine set-ups
60
10
Inspections
10
2
Overhead allocated: 100 As 100 Bs
Materials handling
4
2
Machine set-ups
$2,400 $400
Machining dep’t
240
120
Inspections
1,750
350
Quality control dep’t
3
1
Materials handling
400
200
Machining dep’t
1,920
960
Quality control dep’t
240
80
Overhead for batch $6,710 $1,990
Overhead per unit
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
$67.10 $19.90
Slide # 15
Q3: ABC in Manufacturing Example
Compute the total cost of each product and compare it to the costs
computed under traditional costing.
Prod A Prod B
Direct material $25.00 $10.00
Direct labor
20.00 20.00
Overhead
67.10 19.90
$112.10 $49.90
Total
Traditional costing
assigned $77 to a unit of
Product A and $62 to a
unit of Product B.
•
The only difference between the two costing systems is that
Product A is assigned more overhead costs under ABC.
•
The additional overhead assigned to Product A reflects Product
A’s consumption of resources.
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 16
Q4: Activity-Based Management (ABM)
• ABM is the process of using ABC information to
evaluate opportunities for improvements in an
organization.
• Examples include managing & monitoring
• customer profitability
• product and process design
• environmental costs
• quality
• constrained resources
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 17
Q4: ABM & Customer Profitability
• Activities can be defined so that different costs of
servicing customers are accumulated.
• Examples include
• analyzing the types of bank transactions used
by various categories of customers
• comparing the costs of servicing insurance
contracts sold to married versus single
individuals
• comparing the costs of different distribution
channels
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 18
Q4: ABM & Product/Process Improvements
• Activities can be defined so that the costs of stages
of production or of a business process are
accumulated.
• Examples include
• determining the costs of non-value-added
activities so the most costly can be reduced or
eliminated
• changing the steps in the accounts payable
function to reduce the number of personnel
• determining the most costly stages of product
development so that the time to market is
reduced
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 19
Q4: ABM & Environmental Costs
• Activities can be defined so that types of
environmental costs are accumulated.
• Examples include
• capturing the costs of contingent liabilities for
waste disposal site remediation
• comparing the cost of recycling packaging to the
cost of disposal
• computing the costs of treating different kinds of
emissions
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 20
Q4: ABM & Quality Costs
• Activities can be defined so that categories of costs
of managing quality are accumulated.
• Common categories of quality costs are
• costs of prevention activities
• costs of appraisal activities
• costs of production activities
• costs of postsales activities
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 21
Q5: What are GPK and RCA?
• Costing approaches similar to ABC because they
involve multiple pools and multiple drivers
• GPK can be described as marginal planning and
cost accounting
– Each cost is traced to a cost center (smaller than a
department) which performs a single repetitive activity,
and is the responsibility of one manager)
– Output measures tracks the volume of resource use
– Costs are segregated into proportional (change with
volume in resource use) and fixed
– Practical capacity is used for estimated allocation rate
volumes
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 22
Q5: Capacity Definitions
• Theoretical capacity – maximum assuming
continuous, uninterrupted operations 365 days/year
• Practical capacity – typical operating conditions
• Budgeted capacity – expected volume for the
upcoming time period
• Idle/excess capacity – difference between activity
capacity used and one of the above measures of
capacity
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 23
Q5: What are GPK and RCA?
• Resource Consumption Accounting (RCA)
• Builds on GPK and ABC principles
• Each cost is assigned to a resource cost pool
– Labor and machinery are often placed in different cost
pools since they are different types of resources
– RCA involves a significantly larger number of cost pools
than traditional accounting
– Like GPK, segregates proportional and fixed costs
– Utilizes theoretical rather than practical capacity for
allocating fixed costs
• More likely to focus manager attention on reducing idle and nonproductive resource time
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 24
Q5: Benefits/Drawbacks to GPK/RCA
• Benefits
– Generates multi-level internal income statements useful
for short terms decisions because it focuses on marginal
cost
– Increases cause & effect awareness among managers
– Categorizes costs (and generates profit margin) at the
product, product group, division, and company level
– Avoids arbitrary allocations of fixed costs
• Drawbacks
– Can be costly to implement
– Can result in a large number of variances to analyze
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 25
Q5: Comparison of ABC, GPK, and RCA
ABC
GPK
RCA
Character of cost
accounting system
Full costing
Marginal costing
Full and marginal
costing
Location of data
Database separate
from general ledger
Comprehensive
accounting system
Comprehensive
accounting system
Primary decision
relevance
Mid- to long-term
Short-term
Short-, Mid-, and
Long term
Allocation of
overhead based on
Activities
Cost Centers
Resources and/or
activities
Cost Drivers
Activity –Based
Resource Output
related
Resource output or
activity related
Fixed cost
allocation rate
denominator
Actual, budgeted,
or practical
capacity
Budgeted or
practical capacity
Theoretical
capacity
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 26
Q6: Decision Making with ABC, GPK, and RCA
• Benefits
• more accurate and relevant product cost information
• employees focus attention on activities
• measurement of the costs of activities and business
processes
• identify non-value-added activities and reduce costs
• Costs
• systems can be difficult to design and maintain
• more information must be captured
• decision makers may not use the information
appropriately
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 27
Q6: Uncertainties in ABC and ABM
Implementation
• Judgment is required when determining
activities.
• Judgment is required when selecting cost
drivers.
• Denominator levels for cost drivers are
estimates.
• ABC information includes unitized fixed
costs, so decision makers must use ABC
information correctly.
© John Wiley & Sons, 2011
Chapter 7: Activity-Based Costing and Management
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 28
Cost Management
Measuring, Monitoring, and Motivating Performance
Chapter 4
Relevant Information for Decision Making
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 1
Chapter 4: Relevant Costs for Nonroutine
Operating Decisions
Learning objectives
•
•
•
•
•
•
Q1: What is the process for identifying and using relevant
information in decision making?
Q2: How is relevant quantitative and qualitative information
used in special order decisions?
Q3: How is relevant quantitative and qualitative information
used in keep or drop decisions?
Q4: How is relevant quantitative and qualitative information used in
outsourcing (make or buy) decisions?
Q5: How is relevant quantitative and qualitative information used in
product emphasis and constrained resource decisions?
Q6: What factors affect the quality of operating decisions?
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 2
Q1: Nonroutine Operating Decisions
• Routine operating decisions are those made on a
regular schedule. Examples include:
• annual budgets and resource allocation decisions
• monthly production planning
• weekly work scheduling issues
• Nonroutine operating decisions are not made on a
regular schedule. Examples include:
• accept or reject a customer’s special order
• keep or drop business segments
• insource or outsource a business activity
• constrained (scarce) resource allocation issues
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 3
Q1: Nonroutine Operating Decisions
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 4
Q1: Process for Making Nonroutine
Operating Decisions
1. Identify the type of decision to be made.
2. Identify the relevant quantitative analysis
technique(s).
3. Identify and analyze the qualitative factors.
4. Perform quantitative and/or qualitative analyses
5. Prioritize issues and arrive at a decision.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 5
Q1: Identify the Type of Decision
•
•
Special order decisions
•
determine the pricing
•
accept or reject a customer’s proposal for order quantity
and pricing
•
identify if there is sufficient available capacity
Keep or drop business segment decisions
•
•
examples of business segments include product lines,
divisions, services, geographic regions, or other distinct
segments of the business
eliminating segments with operating losses will not
always improve profits
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 6
Q1: Identify the Type of Decision
•
•
•
Outsourcing decisions
•
make or buy production components
•
perform business activities “in-house” or pay another
business to perform the activity
Constrained resource allocation decisions
•
determine which products (or business segments)
should receive allocations of scarce resources
•
examples include allocating scarce machine hours or
limited supplies of materials to products
Other decisions may use similar analyses
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 7
Q1: Identify and Apply the Relevant
Quantitative Analysis Technique(s)
•
•
Regression, CVP, and linear programming are
examples of quantitative analysis techniques.
Analysis techniques require input data.
•
Data for some input variables will be known and for
other input variables estimates will be required.
•
Many nonroutine decisions have a general
decision rule to apply to the data.
•
The results of the general rule need to be
interpreted.
•
The quality of the information used must be considered
when interpreting the results of the general rule.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 8
Q2-Q5 : Identify and Analyze Qualitative Factors
•
Qualitative information cannot easily be valued in
dollars.
•
•
•
can be difficult to identify
can be every bit as important as the quantitative
information
Examples of qualitative information that may be
relevant in some nonroutine decisions include:
•
quality of inputs available from a supplier
•
effects of decision on regular customers
•
effects of decision on employee morale
•
effects of production on the environment or the
community
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 9
Q1: Consider All Information and Make a Decision
•
Before making a decision:
•
Consider all quantitative and qualitative information.
• Judgment is required when interpreting the effects of
qualitative information.
•
Consider the quality of the information.
• Judgment is also required when user lower-quality
information.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 10
Q2: Special Order Decisions
•
•
A new customer (or an existing customer) may
sometimes request a special order with a lower
selling price per unit.
The general rule for special order decisions is:
•
•
accept the order if incremental revenues exceed
incremental costs,
subject to qualitative considerations.
Price >=
•
Relevant
Variable Costs +
Relevant
Fixed Costs +
Opportunity
Cost
If the special order replaces a portion of normal
operations, then the opportunity cost of accepting
the order must be included in incremental costs.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 11
Q2: Special Order Decisions
RobotBits, Inc. makes sensory input devices for robot manufacturers.
The normal selling price is $38.00 per unit. RobotBits was approached
by a large robot manufacturer, U.S. Robots, Inc. USR wants to buy
8,000 units at $24, and USR will pay the shipping costs. The per-unit
costs traceable to the product (based on normal capacity of 94,000
units) are listed below. Which costs are relevant to this decision?
yes$6.20 Relevant?
Direct materials
yes 8.00 Relevant?
Direct labor
Variable mfg. overhead yes 5.80 Relevant?
no 3.50 Relevant?
Fixed mfg. overhead
yes
Shipping/handling
no 2.50 Relevant?
Fixed administrative costs no 0.88 Relevant?
no 0.36 Relevant?
Fixed selling costs
$27.24
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
$20.00
Slide # 12
Q2: Special Order Decisions
Suppose that the capacity of RobotBits is 107,000 units and projected
sales to regular customers this year total 94,000 units. Does the
quantitative analysis suggest that the company should accept the
special order?
First determine if there is sufficient idle capacity to accept this
order without disrupting normal operations:
Projected sales to regular customers
Special order
94,000 units
8,000 units
102,000 units
RobotBits still has 5,000 units of idle capacity if the order is
accepted. Compare incremental revenue to incremental cost:
Incremental profit if accept special order =
($24 selling price – $20 relevant costs) x 8,000 units = $32,000
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 13
Q2: Qualitative Factors in
Special Order Decisions
What qualitative issues, in general, might RobotBits consider before
finalizing its decision?
• Will USR expect the same selling price per unit on future
orders?
• Will other regular customers be upset if they discover the
lower selling price to one of their competitors?
• Will employee productivity change with the increase in
production?
• Given the increase in production, will the incremental costs
remain as predicted for this special order?
• Are materials available from its supplier to meet the increase
in production?
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 14
Q2: Special Order Decisions and Capacity Issues
Suppose instead that the capacity of RobotBits is 100,000 units and
projected sales to regular customers this year totals 94,000 units.
Should the company accept the special order?
Here the company does not have enough idle
capacity to accept the order:
Projected sales to regular customers
Special order
94,000 units
8,000 units
102,000 units
If USR will not agree to a reduction of the order to 6,000
units, then the offer can only be accepted by denying sales
of 2,000 units to regular customers.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 15
Q2: Special Order Decisions and Capacity Issues
Suppose instead that the capacity of RobotBits is 100,000 units and
projected sales to regular customers this year total 94,000 units. Does
the quantitative analysis suggest that the company should accept the
special order?
Direct materials
Direct labor
Variable mfg. overhead
Fixed mfg. overhead
Shipping/handling
Fixed administrative costs
Fixed selling costs
$6.20
8.00
5.80
3.50
2.50
0.88
0.36
$27.24
Variable cost/unit for
regular sales = $22.50.
CM/unit on regular sales
= $38.00 – $22.50 = $15.50.
The opportunity cost of accepting this
order is the lost contribution margin
on 2,000 units of regular sales.
Incremental profit if accept special order =
$32,000 incremental profit under idle capacity – opportunity cost =
$32,000 – $15.50 x 2,000 = $1,000
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 16
Q2: Qualitative Factors in
Special Order Decisions
What additional qualitative issues, in this case of a capacity constraint,
might RobotBits consider before finalizing its decision?
• What will be the effect on the regular customer(s) that do not
receive their order(s) of 2,000 units?
• What is the effect on the company’s reputation of leaving
orders from regular customers of 2,000 units unfilled?
• Will any of the projected costs change if the company
operates at 100% capacity?
• Are there any methods to increase capacity? What effects do
these methods have on employees and on the community?
• Notice that the small incremental profit of $1,000 will probably
be outweighed by the qualitative considerations.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 17
Q3: Keep or Drop Decisions
•
Managers must determine whether to keep or
eliminate business segments that appear to be
unprofitable.
•
The general rule for keep or drop decisions is:
•
•
keep the business segment if its contribution margin
covers its avoidable fixed costs,
subject to qualitative considerations.
Drop if: Contribution < Relevant
Margin
Fixed Costs
•
+
Opportunity
Cost
If the business segment’s elimination will affect
continuing operations, the opportunity costs of its
discontinuation must be included in the analysis.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 18
Q3: Keep or Drop Decisions
Starz, Inc. has 3 divisions. The Gibson and Quaid Divisions have recently
been operating at a loss. Management is considering the elimination of these
divisions. Divisional income statements (in 1000s of dollars) are given below.
According to the quantitative analysis, should Starz eliminate Gibson or
Quaid or both?
Revenues
Variable costs
Contribution margin
Traceable fixed costs
Division operating income
Unallocated fixed costs
Operating income
Gibson Quaid Russell
$390 $433
$837
247
335
472
143
98
365
166
114
175
($23) ($16)
$190
Breakdown of traceable fixed costs:
Avoidable
$154
Unavoidable
12
$166
© John Wiley & Sons, 2011
$96
18
$114
Total
$1,660
1,054
606
455
151
81
$70
$139
36
$175
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 19
Q3: Keep or Drop Decisions
Revenues
Variable costs
Contribution margin
Traceable fixed costs
Division operating income
Unallocated fixed costs
Operating income
Gibson Quaid Russell
$390 $433
$837
247
335
472
143
98
365
166
114
175
($23) ($16)
$190
Breakdown of traceable fixed costs:
Avoidable
$154
Unavoidable
12
$166
$96
18
$114
Total
$1,660
1,054
606
455
151
81
$70
$139
36
$175
Contribution margin
Avoidable fixed costs
Effect on profit if keep
Use the general rule
to determine if Gibson
and/or Quaid should
be eliminated.
Gibson Quaid
$143
$98
154
96
($11)
$2
The general rule shows that we should keep Quaid and drop Gibson.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 20
Q3: Keep or Drop Decisions
Revenues
Variable costs
Contribution margin
Traceable fixed costs
Division operating income
Unallocated fixed costs
Operating income
Gibson Quaid Russell
$390 $433
$837
247
335
472
143
98
365
166
114
175
($23) ($16)
$190
Breakdown of traceable fixed costs:
Avoidable
$154
Unavoidable
12
$166
$96
18
$114
Total
$1,660
1,054
606
455
151
81
$70
$139
36
$175
Using the general rule is easier
than recasting the income
statements:
Gibson Quaid Russell
Total
Revenues
$390
$433
$837
$1,270
Variable costs
247
335
472
807
Contribution margin
143
98
365
$463
Traceable fixed costs
166
114
175
289
Division operating income
($23)
($16)
$190
$174
Unallocated fixed costs
81
Gibson's unavoidable fixed costs
12
Operating income
$81
Quaid &
Russell
only
Profits increase by $11 when Gibson is eliminated.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 21
Q3: Keep or Drop Decisions
Suppose that the Gibson & Quaid Divisions use the same supplier for a
particular production input. If the Gibson Division is dropped, the decrease in
purchases from this supplier means that Quaid will no longer receive volume
discounts on this input. This will increase the costs of production for Quaid by
$14,000 per year. In this scenario, should Starz still eliminate the Gibson
Division?
Effect on profit if drop Gibson before considering
impact on Quaid's production costs
Opportunity cost of eliminating Gibson
Revised effect on profit if drop Gibson
$11
(14)
($3)
Profits decrease by $3 when Gibson is eliminated.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 22
Q3: Qualitative Factors in
Keep or Drop Decisions
What qualitative issues should Starz consider before finalizing its
decision?
• What will be the effect on the customers of Gibson if it
is eliminated? What is the effect on the company’s
reputation?
• What will be the effect on the employees of Gibson?
Can any of them be reassigned to other divisions?
• What will be the effect on the community where Gibson
is located if the decision is made to drop Gibson?
• What will be the effect on the morale of the employees
of the remaining divisions?
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 23
•
Q4: Insource or Outsource
(Make or Buy) Decisions
Managers often must determine whether to
•
•
•
make or buy a production input
keep a business activity in house or outsource the activity
The general rule for make or buy decisions is:
•
•
choose the alternative with the lowest relevant
(incremental cost), subject to qualitative considerations
If the decision will affect other aspects of
operations, these costs (or lost revenues) must be
included in the analysis.
Outsource if: Cost to Outsource < Cost to Insource
Where:
© John Wiley & Sons, 2011
Cost to
Relevant Relevant Opportunity
Insource =
FC
+
VC
+
Cost
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 24
Q4: Make or Buy Decisions
Graham Co. currently of our main product manufactures a part called a
gasker used in the manufacture of its main product. Graham makes and
uses 60,000 gaskers per year. The production costs are detailed below.
An outside supplier has offered to supply Graham 60,000 gaskers per
year at $1.55 each. Fixed production costs of $30,000 associated with
the gaskers are unavoidable. Should Graham make or buy the gaskers?
The production costs per unit for manufacturing a gasker are:
yes $0.65 Relevant?
Direct materials
yes 0.45 Relevant?
Direct labor
Variable manufacturing overhead yes 0.40 Relevant?
no 0.50 Relevant?
Fixed manufacturing overhead*
$2.00
*$30,000/60,000 units = $0.50/unit
$1.50
Advantage of “make” over “buy” = [$1.55 - $1.50] x 60,000 = $3,000
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 25
Q4: Qualitative Factors in
Make or Buy Decisions
The quantitative analysis indicates that Graham should continue to
make the component. What qualitative issues should Graham
consider before finalizing its decision?
• Is the quality of the manufactured component superior
to the quality of the purchased component?
• Will purchasing the component result in more timely
availability of the component?
• Would a relationship with the potential supplier benefit
the company in any way?
• Are there any worker productivity issues that affect this
decision?
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 26
Q3: Make or Buy Decisions
Suppose the potential supplier of the gasker offers Graham a discount for a
different sub-unit required to manufacture Graham’s main product if Graham
purchases 60,000 gaskers annually. This discount is expected to save
Graham $15,000 per year. Should Graham consider purchasing the
gaskers?
Advantage of “make” over “buy”
before considering discount (slide 23)
$3,000
Discount
Advantage of “buy” over “make”
15,000
$12,000
Profits increase by $12,000 when the gasker is
purchased instead of manufactured.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 27
Q5: Constrained Resource
(Product Emphasis) Decisions
•
Managers often face constraints such as
•
•
production capacity constraints such as machine hours
or limits on availability of material inputs
limits on the quantities of outputs that customers
demand
•
Managers need to determine which products
should first be allocated the scarce resources.
•
The general rule for constrained resource
allocation decisions with only one constraint is:
•
allocate scarce resources to products with the highest
contribution margin per unit of the constrained resource,
•
subject to qualitative considerations.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 28
Q5: Constrained Resource Decisions
(Two Products; One Scarce Resource)
Urban’s Umbrellas makes two types of patio umbrellas, regular and deluxe.
Suppose there is unlimited customer demand for each product. The selling
prices and variable costs of each product are listed below.
Selling price per unit
Variable cost per unit
Contribution margin per unit
Regular
$40
20
$20
Deluxe
$110
44
$ 66
Contribution margin ratio
50%
60%
Required machine hours/unit
0.4
2.0
Urban has only 160,000 machine hours available per year.
Write Urban’s machine hour constraint as an inequality.
0.4R + 2D 160,000 machine hours
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 29
Q5: Constrained Resource Decisions
(Two Products; One Scarce Resource)
Suppose that Urban decides to make all Regular umbrellas. What is the total
contribution margin? Recall that the CM/unit for R is $20.
The machine hour constraint is: 0.4R + 2D 160,000 machine hours
If D=0, this constraint becomes 0.4R 160,000 machine hours,
or R 400,000 units
Total contribution margin = $20*400,000 = $8 million
Suppose that Urban decides to make all Deluxe umbrellas. What is the total
contribution margin? Recall that the CM/unit for D is $66.
If R=0, this constraint becomes 2D 160,000 machine hours, or
D 80,000 units
Total contribution margin = $66*80,000 = $5.28 million
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 30
Q5: Constrained Resource Decisions
(Two Products; One Scarce Resource)
If the choice is between all Ds or all Rs, then clearly making all Rs
is better. But how do we know that some combination of Rs and Ds
won’t yield an even higher contribution margin?
make all Ds; get
$5.28 million
make all Rs; get
$8 million
In a one constraint problem, a combination of Rs and Ds will yield
a contribution margin between $5.28 and $8 million. Therefore,
Urban will only make one product, and clearly R is the best choice.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 31
Q5: Constrained Resource Decisions
(Two Products; One Scarce Resource)
The general rule for constrained resource decisions with one
scarce resource is to first make only the product with the highest
contribution margin per unit of the constrained resource.
In Urban’s case, the sole scarce resource was machine hours,
so Urban should make only the product with the highest
contribution margin per machine hour.
R: CM/mach hr = $20/0.4mach hrs = $50/mach hr
D: CM/mach hr = $66/2mach hrs = $33/mach hr
Notice that the total contribution margin from making all Rs
is $50/mach hr x 160,000 machine hours to be used
producing Rs = $8 million.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 32
Q5: Constrained Resource Decisions
(Multiple Scarce Resources)
•
Usually managers face more than one constraint.
•
Multiple constraints are easiest to analyze using a
quantitative analysis technique known as linear
programming.
•
A problem formulated as a linear programming
problem contains
•
an algebraic expression of the company’s goal, known
as the objective function
•
•
for example “maximize total contribution margin” or “minimize
total costs”
a list of the constraints written as inequalities
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 33
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
Suppose Urban also need 2 and 6 hours of direct labor per unit of R
and D, respectively. There are only 120,000 direct labor hours
available per year. Formulate this as a linear programming problem.
Max 20R + 66D
R,D
subject to:
0.4R+2D 160,000 mach hr constraint
2R+6D 120,000 DL hr constraint
nonnegativity constraints
R0
(can’t make a negative
D0
amount of R or D)
objective function
R, D are the
choice variables
constraints
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 34
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
Draw a graph showing the possible production plans for Urban.
Every R, D ordered pair
To determine this, graph the
is a production plan.
constraints as inequalities.
But which ones are feasible,
0.4R+2D 160,000 mach hr constraint
given the constraints?
When D=0, R=400,000
D
When R=0, D=80,000
2R+6D 120,000 DL hr constraint
When D=0, R=60,000
When R=0, D=20,000
80,000
20,000
R
60,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 35
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
There are not enough machine hours or enough
direct labor hours to produce this production plan.
There are enough machine hours, but
not enough direct labor hours, to
produce this production plan.
This production plan is feasible;
there are enough machine hours
and enough direct labor hours for
this plan.
D
80,000
The feasible set is the area where all the
production constraints are satisfied.
20,000
R
60,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 36
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
The graph helped us realize an important aspect of this
problem – we thought there were 2 constrained resources but
in fact there is only one.
For every feasible production plan, Urban will never
run out of machine hours.
D
The machine hour constraint is non-binding, or slack,
but the direct labor hour constraint is binding.
80,000
We are back to a one-scarceresource problem.
20,000
R
60,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 37
Q5: Constrained Resource Decisions
(Two Products; One Scarce Resource)
Here direct labor hours is the sole scarce resource.
We can use the general rule for one-constraint problems.
R: CM/DL hr = $20/2DL hrs = $10/DL hr
D: CM/DL hr = $66/6DL hrs = $11/DL hr
D
Urban should make all deluxe umbrellas.
80,000
Optimal plan is R=0, D=20,000.
Total contribution margin = $66 x
20,000 = $1,320,000
20,000
R
60,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 38
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
Suppose Urban has been able to train a new workforce and now there
are 600,000 direct labor hours available per year. Formulate this as a
linear programming problem, graph it, and find the feasible set.
Max 20R + 66D
R,D
subject to:
0.4R+2D 160,000 mach hr constraint
2R+6D 600,000
DL hr constraint
R0
D0
The formulation of the problem is the same as before; the
only change is that the right hand side (RHS) of the DL
hour constraint is larger.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 39
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
The machine hour constraint is the same as before.
0.4R+2D 160,000 mach hr constraint
D
100,000
2R+6D 600,000 DL hr constraint
When D=0, R=300,000
When R=0, D=100,000
80,000
R
300,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 40
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
There are not enough machine hours or enough
direct labor hours for this production plan.
There are enough direct labor hours, but not
enough machine hours, for this production plan.
There are enough machine hours, but not
enough direct labor hours, for this
production plan.
D
100,000
This production plan is feasible; there
are enough machine hours and enough
direct labor hours for this plan.
80,000
The feasible set is the area where all the
production constraints are satisfied.
R
300,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 41
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
How do we know which of the feasible plans is optimal?
We can’t use the general rule for one-constraint problems.
We can graph the total contribution margin line, because its slope
will help us determine the optimal production plan.
D
100,000
80,000
The objective “maximize total
contribution margin” means that we
. . . this would be the
choose a production plan so that the
optimal production plan.
contribution margin is a large as
possible, without leaving the feasible
set. If the slope of the total contribution
margin line is lower (in absolute value
terms) than the slope of the machine
hour constraint, then. . .
R
300,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 42
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
What if the slope of the total contribution margin line is higher (in
absolute value terms) than the slope of the direct labor hour
constraint?
If the total CM line had this steep slope, . .
D
100,000
. . then this would
be the optimal
production plan.
80,000
R
300,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 43
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
What if the slope of the total contribution margin line is between
the slopes of the two constraints?
If the total CM line had this slope, . .
D
100,000
. . then this would
be the optimal
production plan.
80,000
R
300,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 44
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
The last 3 slides showed that the optimal production plan is always
at a corner of the feasible set. This gives us an easy way to solve
2 product, 2 or more scarce resource problems.
D
100,000
R=0, D=80,000
The total contribution margin here is
0 x $20 + 80,000 x $66 = $5,280,000.
R=?, D=?
Find the intersection of the 2 constraints.
80,000
R=300,000, D=0
The total contribution margin here is
300,000 x $20 + 0 x $66 = $6,000,000.
R
300,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 45
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
To find the intersection of the 2 constraints, use substitution or
subtract one constraint from the other.
multiply each side by 5
Total CM = $5,280,000.
D
100,000
80,000
0.4R+2D = 160,000 2R+10D = 800,000
2R+6D = 600,000
2R+6D = 600,000
subtract 0R+4D = 200,000
D = 50,000
Total CM = $20 x 150,000 +
2R+6(50,000) = 600,000
$66 x 50,000 = $6,300,000.
2R = 300,000
R = 150,000
Total CM = $6,000,000.
R
300,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 46
Q5: Constrained Resource Decisions
(Two Products; Two Scarce Resources)
By checking the total contribution margin at each corner
of the feasible set (ignoring the origin), we can see that
the optimal production plan is R=150,000, D=50,000.
Total CM = $5,280,000.
D
100,000
80,000
Knowing how to graph and solve 2
product, 2 scarce resource problems
is good for understanding the nature of
a linear programming problem (but
difficult in more complex problems).
Total CM = $6,300,000.
50,000
Total CM = $6,000,000.
R
150,000 300,000
© John Wiley & Sons, 2011
400,000
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 47
Q5: Qualitative Factors in
Scarce Resource Allocation Decisions
The quantitative analysis indicates that Urban should produce 150,000
regular umbrellas and 50,000 deluxe umbrellas. What qualitative
issues should Urban consider before finalizing its decision?
• The assumption that customer demand is unlimited is
unlikely; can this be investigated further?
• Are there any long-term strategic implications of
minimizing production of the deluxe umbrellas?
• What would be the effects of attempting to relax the
machine hour or DL hour constraints?
• Are there any worker productivity issues that affect this
decision?
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 48
Q5: Constrained Resource Decisions
(Multiple Products; Multiple Constraints)
• Problems with multiple products, one scarce resource,
and one constraint on customer demand for each
product are easy to solve.
• The general rule is to make the product with the highest
contribution margin per unit of the scarce resource:
– until its customer demand is satisfied
– then move to the product with the next highest contribution margin
per unit of the scarce resource, etc.
• Problems with multiple products and multiple scarce
resources are too cumbersome to solve by hand – Excel
solver is a useful tool here.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 49
Q5: Constrained Resource Decisions
(Two Products; One Scarce Resource)
Urban’s Umbrellas makes two types of patio umbrellas, regular and deluxe.
Suppose customer demand for regular umbrellas is 300,000 units and for
deluxe umbrellas customer demand is limited to 60,000. Urban has only
160,000 machine hours available per year. What is his optimal production
plan? How much would he pay (above his normal costs) for an extra
machine hour?
Selling price per unit
Variable cost per unit
Contribution margin per unit
Regular
$40
20
$20
Deluxe
$110
44
$ 66
Required machine hours/unit
0.4
2.0
CM/machine hour
$50
$33
Urban should first concentrate on making Rs. He can make enough to satisfy
customer demand for Rs: 300,000 Rs x 0.4 mach hr/R = 120,000 mach hrs.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 50
Q5: Constrained Resource Decisions
(Two Products; One Scarce Resource)
Selling price per unit
Variable cost per unit
Contribution margin per unit
Regular
$40
20
$20
Deluxe
$110
44
$ 66
Required machine hours/unit
0.4
2.0
CM/machine hour
$50
$33
The 40,000
remaining hours
will make 20,000
Ds.
The optimal plan is 300,000 Rs and 20,000 Ds. The CM/mach hr shows
how much Urban would be willing to pay, above his normal costs, for an
additional machine hour.
Here Urban will be producing Ds when he runs out of machine hours so
he’d be willing to pay up to $33 for an additional machine hour.
If customer demand for Rs exceeded 400,000 units, Urban would be willing
to pay up to an additional $50 for a machine hour.
If customer demand for Rs and Ds could be satisfied with the 160,000
available machine hours, then Urban would not be willing to pay anything
to acquire an additional machine hour.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 51
Q5: Constrained Resource Decisions
Using Excel Solver
To obtain the
solver dialog box,
choose “Solver”
from the Tools
pull-down menu.
The “target cell” will
contain the
maximized value for
the objective (or
“target”) function.
Choose “max” for the
types of problems in this
chapter.
Add constraint
formulas by clicking
“add”.
© John Wiley & Sons, 2011
Choose one cell for
each choice variable
(product). It’s helpful
to “name” these cells.
Click “solve” to obtain the
next dialog box.
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 52
Q5: Constrained Resource Decisions
Using Excel Solver
Cell B2 was
named
“Regular” and
cell C2 was
named Deluxe.
=20*Regular
+ 66*Deluxe
=0.4*Regular+
2*Deluxe
=2*Regular+
6*Deluxe
=Regular (cell B2)
=Deluxe (cell C2)
Then click “solve” and choose all 3 reports.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 53
Q5: Excel Solver Answer Report
Microsoft Excel 9.0 Answer Report
Refer to the problem on Slide #50.
Target Cell (Max)
Original
Cell Name Value
0
$B$3 Regular
The total contribution margin for
the optimal plan was $6.3 million.
Final Value
6,300,000
The optimal production plan was
150,000 Rs and 50,000 Ds.
Adjustable Cells
Original
Cell Name Value
0
$B$2 Regular
0
$C$2 Deluxe
Final Value
150,000
50000
The machine and DL hour
constraints are binding – the plan
uses all available machine and DL
hours.
Constraints
Cell
Value
Formula
Status
600,000 $B$9=$C$11 Binding
50,000
$B$10 R>0
Not
150,000 $B$10>=$C$10 Binding
150,000
Cell
Name
$B$9 DL hr
© John Wiley & Sons, 2011
Slack
The nonnegativity
constraints for R and D
are not binding; the slack
is 50,000 and 150,000
units respectively.
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 54
Q5: Excel Solver Sensitivity Report
Microsoft Excel 9.0 Sensitivity Report
Refer to the problem on Slide #50.
Adjustable Cells
Final Reduced Objective Allowable Allowable
Cell Name Value
Cost Coefficient Increase Decrease
$B$2 Regular 150,000
0
20
2
6.8
$C$2 Deluxe
50000
0
66
34
6
Constraints
Final Shadow Constraint Allowable Allowable
Cell Name Value
Price R.H. Side Increase Decrease
$B$9 DL hr
600,000
9
600000
200000
120000
$B$8 mach hr 160,000
8
160000
40000
40000
$B$11 D>0
50,000
0
0
50000
1E+30
$B$10 R>0
150,000
0
0
150000
1E+30
This shows
how much the
slope of the
total CM line
can change
before the
optimal
production
plan will
change.
The CM per unit for Regular can drop to $13.20 or increase to $22 (all else equal)
before the optimal plan will change. The CM per unit for Deluxe can drop to $60 or
increase to $100 (all else equal) before the optimal plan will change.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 55
Q5: Excel Solver Sensitivity Report
Microsoft Excel 9.0 Sensitivity Report
Refer to the problem on Slide #50.
Adjustable Cells
Final Reduced Objective Allowable Allowable
Cell Name Value
Cost Coefficient Increase Decrease
$B$2 Regular 150,000
0
20
2
6.8
$C$2 Deluxe
50000
0
66
34
6
Constraints
Final Shadow Constraint Allowable Allowable
Cell Name Value
Price R.H. Side Increase Decrease
$B$9 DL hr
600,000 8.50
600000
200000
120000
$B$8 mach hr 160,000 7.50
160000
40000
40000
$B$11 D>0
50,000 0.00
0
50000
1E+30
$B$10 R>0
150,000 0.00
0
150000
1E+30
This shows
how much the
RHS of each
constraint can
change
before the
shadow price
will change.
The available DL hours could decrease to 480,000 or increase to 800,000 (all
else equal) before the shadow price for DL would change. The available
machine hours could decrease to 120,000 or increase to 200,000 (all else
equal) before the shadow price for machine hours would change.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 56
Q5: Excel Solver Sensitivity Report
Microsoft Excel 9.0 Sensitivity Report
Refer to the problem on Slide #50.
Adjustable Cells
Final Reduced Objective Allowable Allowable
Cell Name Value
Cost Coefficient Increase Decrease
$B$2 Regular 150,000
0
20
2
6.8
$C$2 Deluxe
50000
0
66
34
6
Constraints
Final Shadow Constraint Allowable Allowable
Cell Name Value
Price R.H. Side Increase Decrease
$B$9 DL hr
600,000 8.50
600000
200000
120000
$B$8 mach hr 160,000 7.50
160000
40000
40000
$B$11 D>0
50,000 0.00
0
50000
1E+30
$B$10 R>0
150,000 0.00
0
150000
1E+30
The shadow
price shows
how much a
one unit
increase in
the RHS of a
constraint will
improve the
total
contribution
margin.
Urban would be willing to pay up to $8.50 to obtain one more DL hour and up
to $7.50 to obtain one more machine hour.
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 57
Q7: Impacts to Quality of
Nonroutine Operating Decisions
• The quality of the information used in nonroutine
operating decisions must be assessed.
• There may be more information quality issues (and more
uncertainty) in nonroutine decisions because of the
irregularity of the decisions.
• Three aspects of the quality of information
available can affect decision quality.
• Business risk (changes in economic condition, consumer
demand, regulation, competitors, etc.)
• Information timeliness
• Assumptions in the quantitative and qualitative analyses
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 58
Q7: Impacts to Quality of
Nonroutine Operating Decisions
• Short term decision must align to company’s overall
strategic plans
• Must watch for decision maker bias
– Predisposition for specific outcome
– Preference for one type of analysis without considering
other options
• Opportunity costs are often overlooked
• Performing sensitivity analysis can help assess and
minimize business risk
• Established control system incentives (performance
bonuses, etc.) can encourage sub-obtimal decision
making
© John Wiley & Sons, 2011
Chapter 4: Relevant Costs for Nonroutine Operating Decisions
Eldenburg & Wolcott’s Cost Management, 2e
Slide # 59
College of Administration and Finance Sciences
Assignment (2)
Deadline: Saturday 04/05/2024 @ 23:59
Course Name: Cost Accounting
Student’s Name:
Course Code: ACCT 301
Student’s ID Number:
Semester: Second
CRN:
Academic Year: 1445 H
For Instructor’s Use only
Instructor’s Name: Amal Alshangiti
Students’ Grade:
/15
Level of Marks: High/Middle/Low
Instructions – PLEASE READ THEM CAREFULLY
• The Assignment must be submitted on Blackboard (WORD format only) via allocated
folder.
• Assignments submitted through email will not be accepted.
• Students are advised to make their work clear and well presented, marks may be
reduced for poor presentation. This includes filling your information on the cover
page.
• Students must mention question number clearly in their answer.
• Late submission will NOT be accepted.
• Avoid plagiarism, the work should be in your own words, copying from students or
other resources without proper referencing will result in ZERO marks. No exceptions.
• All answers must be typed using Times New Roman (size 12, double-spaced) font.
No pictures containing text will be accepted and will be considered plagiarism.
• Submissions without this cover page will NOT be accepted.
College of Administration and Finance Sciences
Assignment Question(s):
(Marks 15)
Q1. What is the process of identifying activities in an organisation and assigning costs under the
Activity Based Costing (ABC) system? Elucidate. You will need to include the right numerical
examples to support your answer.
(2 Marks) (Chapter 7, Week 7)
Answer:
Q2. PPLC Company has two support departments, SD1 and SD2, and two operating
departments, OD1 and OD2. The company decided to use the direct method and allocate
variable SD1 dept. costs based on the number of transactions and fixed SD1 dept. costs based on
the number of employees. SD2 dept. variable costs will be allocated based on the number of
service requests, and fixed costs will be allocated based on the number of computers. The
following information is provided:
(4 Marks) (Chapter 8, Week 10)
Support Departments
Operating Departments
SD1
SD2
OD1
OD2
Total Department variable costs
18,000
19,000
51,000
35,000
Total department fixed costs
20,000
24,000
56,000
30,000
Number of transactions
30
40
200
100
Number of employees
14
18
35
30
Number of service requests
28
18
35
25
Number of computers
15
20
24
28
College of Administration and Finance Sciences
You are required to allocate variable and fixed costs using direct method.
Answer:
Q3. What are an organization’s “outsourcing decisions” and “constrained resource decisions?”
Provide a suitable numerical example of these decisions and explain how quantitative and
qualitative considerations support a company’s decision-making process.
(2 Marks) (Chapter 4, Week 9)
Note: Your answer must include suitable numerical examples. You are required to assume values
of your own, and they should not be copied from any sources.
Answer:
Q4. VBN plastic industry makes three plastic toys: T1, T2, and T3. The joint costs of the three
products in 2017 were SAR 120,000. The total number of units for each product and the selling
price per unit is given below:
(3 Marks) (Chapter 9, Week 11)
Product
Units
Selling Price per unit
T1
45,000
SAR 15
T2
26,000
SAR 14
T3
18,000
SAR 10
You are required to allocate the joint costs to each product using the physical volume method and sales
value at the split-off method.
Answer:
College of Administration and Finance Sciences
Q5. MN&M Corporation is preparing a budget for 2018. The company provides you with the
following details which will help you to prepare the budget:
(4 Marks) (Chapter 10, Week 12)
Budgeted selling price per unit
=
SAR 500 per unit
Total fixed costs
=
SAR 150,000
Variable costs
=
SAR 100 per unit
Required:
You are required to prepare a flexible budget for 1,000, 1,100, 1,200 and 1,300 units.
Answer:
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