1a) Suppose a firm’s TC = 50Q.75. What is Marginal Cost for the 100th unit of production? Use a spreadsheet or otherwise and incremental analysis (not calculus) to answer this question b) A firm estimates its production function as Q = 2.4 + 30*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2.5*L + $2*K + $.75*F. The firm wishes to produce 500 units of output. Use Excel Solver or otherwise to find the cost minimizing amounts of L, K and F. What is the cost-minimizing amount of capital (K)? c) A firm’s production function is: Q = 20L -.5L2. The firm can sell all the output it wishes at $10 per unit. The wage rate for labor is PL=W=$20. a. How much labor should be hired to maximize profits? You can use either a spreadsheet, Solver (or calculus) to find the
1a) Suppose a firm’s TC = 50Q.75. What is Marginal Cost for the 100th unit of production? Use a spreadsheet or otherwise and incremental analysis (not calculus) to answer this question b) A firm estimates its production function as Q = 2.4 + 30*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2.5*L + $2*K + $.75*F. The firm wishes to produce 500 units of output. Use Excel Solver or otherwise to find the cost minimizing amounts of L, K and F. What is the cost-minimizing amount of capital (K)? c) A firm’s production function is: Q = 20L -.5L2. The firm can sell all the output it wishes at $10 per unit. The wage rate for labor is PL=W=$20. a. How much labor should be hired to maximize profits? You can use either a spreadsheet, Solver (or calculus) to find the
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
Section: Chapter Questions
Problem 9TY
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1a) Suppose a firm’s TC = 50Q.75. What is Marginal Cost for the 100th unit of production? Use a spreadsheet or otherwise and incremental analysis (not calculus) to answer this question
- b) A firm estimates its production function as Q = 2.4 + 30*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2.5*L + $2*K + $.75*F. The firm wishes to produce 500 units of output. Use Excel Solver or otherwise to find the cost minimizing amounts of L, K and F. What is the cost-minimizing amount of capital (K)?
c) A firm’s production function is: Q = 20L -.5L2. The firm can sell all the output it wishes at $10 per unit. The wage rate for labor is PL=W=$20. a. How much labor should be hired to maximize profits? You can use either a spreadsheet, Solver (or calculus) to find the
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