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variable costs
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Costs that change with changes in output; include the costs of inputs that vary with output.
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short-run cost function
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A function that defines the minimum possible cost of producing each output level when variable factors are employed in the cost-minimizing fashion.
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average fixed cost
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Fixed costs divided by the number of units of output.
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average variable cost
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Variable costs divided by the number of units of output.
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marginal (incremental) cost
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The cost of producing an additional unit of output.
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sunk cost
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A cost that is forever lost after it has been paid.
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cubic cost function
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Costs are a cubic function of output; provides a reasonable approximation to virtually any cost function.
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long-run average cost curve
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A curve that defines the minimum average cost of producing alternative levels of output, allowing for optimal selection of both fixed and variable factors of production.
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economies of scale
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Exist when long-run average costs decline as output is increased.
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diseconomies of scale
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Exist when long-run average costs rise as output is increased.
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constant returns to scale
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Exist when long-run average costs remain constant as output is increased.
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multiproduct cost function
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A function that defines the cost of producing given levels of two or more types of outputs assuming all inputs are used efficiently.
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economies of scope
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When the total cost of producing two types of outputs together is less than the total cost of producing each type of output separately.
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cost complementarity
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When the marginal cost of producing one type of output decreases when the output of another good is increased.
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fixed costs
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Costs that do not change with changes in output; include the costs of fixed inputs used in production.
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law of diminishing marginal rate of technical substitution
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A property of a production function stating that as less of one input is used, increasing amounts of another input must be employed to produce the same level of output.
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isocost line
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A line that represents the combinations of inputs that will cost the producer the same amount of money.
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isoquant
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Defines the combinations of inputs that yield the same level of output.
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marginal rate of technical substitution (MRTS)
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The rate at which a producer can substitute between two inputs and maintain the same level of output. MRTSkL = MPL/MPK
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Cobb-Douglas production function
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A production function that assumes some degree of substitutability among inputs.
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Leontief production function
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A production function that assumes that inputs are used in fixed proportions.
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linear production function
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A production function that assumes a perfect linear relationship between all inputs and total output.
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value marginal product
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The value of the output produced by the last unit of an input.
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increasing marginal returns
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Range of input usage over which marginal product increases.
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decreasing (diminishing) marginal returns
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Range of input usage over which marginal product declines
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negative marginal returns
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Range of input usage over which marginal product is negative.
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total product
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The maximum level of output that can be produced with a given amount of inputs.
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average product
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A measure of the output produced per unit of input.
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marginal product
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The change in total output attributable to the last unit of an input.
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fixed and variable factors of production
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Fixed factors are the inputs the manager cannot adjust in the short run. Variable factors are the inputs a manager can adjust to alter production.
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production function
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A function that defines the maximum amount of output that can be produced with a given set of inputs.
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average product of labor
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Measures the output of an average worker. APL = Q/L
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average product of capital
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Measures the output of an average unit of capital. APk = Q/K
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marginal product of labor
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Measures the output produced by the last worker. Slope of the short-run production function. MPL = change in Q/ change in L
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marginal product of capital
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Measures the output produced by the last unit of capital. When capital is allowed to vary in the short-run, MPk is the slope of the production function (with respect to capital). MPk = change in Q/ change in K
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linear isoquants
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Imply that inputs are substituted at a constant rate, independent of the input levels employed.