Suppose that a firm’s production function is .  The cost of a unit of labor is $20 and the cost of a unit of capital is $80.   The firm is currently producing 100 units of output, and has determined that the cost-minimizing quantities of labor and capital are 20 and 5 respectively. Graphically illustrate this situation on a graph using isoquants and isocost lines. The firm now wants to increase output to 140 units.  If capital is fixed in the short run, how much labor will the firm require?  Illustrate this point on your graph and find the new cost

Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter7: Production, Inputs, And Cost: Building Blocks For Supply Analysis
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.  Suppose that a firm’s production function is .  The cost of a unit of labor is $20 and the cost of a unit of capital is $80.  

  1. The firm is currently producing 100 units of output, and has determined that the cost-minimizing quantities of labor and capital are 20 and 5 respectively. Graphically illustrate this situation on a graph using isoquants and isocost lines.
  2. The firm now wants to increase output to 140 units.  If capital is fixed in the short run, how much labor will the firm require?  Illustrate this point on your graph and find the new cost
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