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Production Function
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The way a firm combines inputs to produce an output
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Variable inputs
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Can be changed in short run to change production
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Fixed inputs
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Can not be changed in short run to change production
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Short Run
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Period of time during which there are fixed inputs; the period of time is too short for a firm to alter its plant capacity
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Plant capacity
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a firm's maximum potential level of production
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Long run
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Period of time long enough for a firm to change all of its inputs; the period of time long enough for a firm to alter its plant capacity
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Total product (TP)
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Total quantity of output produced by a certain amount of inputs
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Marginal product (MP)
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Additional output produced by one more unit of a variable input, often labor
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MP Formula
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(Change in TP)/(change in input)
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Average product
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Average quantity of output produced by one unit of a variable input, often labor
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AP formula
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(Total product)/(Input)
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MP represents slope of ______ ________
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Total product
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When MP increases....
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TP increases at increasing rate
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When MP is positive but decreasing...
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TP is increasing at a decreasing rate
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When MP is 0...
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TP is at its max
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When MP is negative...
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TP is decreasing
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MP crosses through the _____ of ______
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Max of AP
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When MP is above AP, AP is _______
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Rising
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When MP is below AP, AP is ______-
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Falling
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TP increases at a increasing rate because of _______________
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Specialization
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TP increases at a decreasing rate because of _____________ __________
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Diminishing returns
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MP will increase due to ____________, but decrease due to ___________ __________
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Specialization, diminishing returns
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AP increases when the MP curve is ___________ it, and AP curve decreases if MP curve is __________ it
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Above, below
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MP crosses AP at its ____
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Max
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Axes of production function curve
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X- quantity of variable input
Y- quantity of variable output
Y- quantity of variable output
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Fixed cost (FC)
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A cost that must be paid even when a firms output is 0; same at all output levels
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Variable cost (VC)
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Cost that changes as output changes
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Total cost (TC)
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Sum of fixed and variable costs
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Marginal cost (MC)
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Additional cost of making 1 more unit of output
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MC formula
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(Change in TC)/(change in Q)
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Marginal cost ______________ initially due to _____________
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Decreases, specialization
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Marginal cost eventually _____________ due to ____________ ___________
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Rises, diminishing returns
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Average fixed cost (AFC)
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Average per unit fixed cost of production for a given quantity of output
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Formula for AFC
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(FC)/(Q)
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Average variable cost (AVC)
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The average per unit variable cost of production for a given quantity of output
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Formula for AVC
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(VC)/(Q)
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Average total cost (ATC)
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Average per unit total cost of production for a quanity of output
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Formula for ATC
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(TC)/(Q) or (AVC)+(AFC)
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What patterns do we see in data for short run production costs
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1. MC decreases then increases
2. AFC always decreases so AVC and ATC are always getting closer
3. AVC and ATC decrease then increase making a U shape
2. AFC always decreases so AVC and ATC are always getting closer
3. AVC and ATC decrease then increase making a U shape
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Marginal cost crosses through minimums of ______ and _____
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ATC and AVC
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If MC is below ATC then ATC is __________
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Falling
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If MC is below AVC then AVC is ________
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Falling
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If MC is above ATC then ATC is _______
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Rising
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If MC is above AVC then AVC is ________
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Rising
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Increasing returns to scale
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Output increases at faster rate than all inputs
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Decreasing returns to scale
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Output increases at a slower rate than all inputs
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Constant returns to scale
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Output increases at the same rate as all inputs
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Economies of scale
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-Long run ATC decreases as output increases
-Downward sloping part of LRATC curve
-Downward sloping part of LRATC curve
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Diseconomies of scale
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-Long run ATC increases as output decreases
-Upward sloping part of LRATC curve
-Upward sloping part of LRATC curve
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Constant returns to scale (Efficient scale)
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-long run ATC is constant as output increases
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Minimum efficient scale
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Helps determine the number of firms in a market