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The total product curve shows how the quantity of output depends on the quantity of one variable input, for a given quantity of other inputs.
Typology: Lecture notes
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September 21, 2006
Begin examination of how firms make decisions using the principles of individual decision making (marginal costs and benefits)
First we examine relation between inputs and outputs
Second we examine costs and marginal (and other) costs
Next topic: Marginal benefits for the firm and how they decide how much to produce 2
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Production function: relationship between the quantity of inputs a firm uses and the quantity of output it produces.
Inputs are of two types: Fixed input: an input whose quantity is fixed and cannot be varied in the relevant time preriod. Variable input: an input whose quantity the firm can vary in the relevant time period.
Time periods : Short run: time period in which at least one input is fixed. Long run: time period in which all inputs can be varied. Why?Why? Some things take longer to change than othersSome things take longer to change than others
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The total product curve shows how the quantity of output depends on the quantity of one variable input, for a given quantity of other inputs.
Assume : firm produces one product with two inputs, labor and land amount of land held constant So labor is variable input and land is fixed input
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Diminishing returns
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The marginal product of an input is the additional quantity of output that is produced by using one more unit of that input. The marginal product of labor is the additional quantity of output produced by using one more unit of labor.
We have diminishing returns to an input when an increase in the quantity of that input, holding the levels of all other inputs fixed, leads to a decline in the marginal product of that input. Marginal product can be negative – total product falls as input increased.
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Production Function
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Production Function
The total and marginal product curves for labor shift when:
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Cost
In our example, it is the cost of land
In our example, it is the cost of labor
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Cost
Total Cost Curve
The total cost curve shows how total cost depends on output. Slope increases due to diminishing returns to labor
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Cost
output
labor
Total product curve
output
labor
output
Cost = labor x wage
Variable cost
output
Cost
Variable cost
Total cost
Fixed cost 12
Marginal and Average Cost
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There is a trade-off between higher fixed cost and lower variable cost for any given output level, and vice versa.
But as output goes up, average total cost is lower with the higher amount of fixed cost.
SR and LR Costs
Changes in fixed costs
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Long-run average total cost curve shows relationship between output and average total cost when fixed cost has been chosen to minimize average total cost for each level of output, by choosing the appropriate amount of the fixed factor(s)
Short-run and Long-run Costs
Not the minimum point of each SR ATC, but lower envelope
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Short-Run and Long-Run Average
Total Cost Curves
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Short-run and Long-Run Costs
¾ Specialization (division of labor) at higher levels of output
¾ Problems of coordination and communication
¾ ¾ ReplicationReplication