A firm estimates its production function as Q = -2.4 + 20*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2*L + $2.5*K + $1.75*F. The firm can sell all the output it wishes at $200 per unit. Use Excel to find the cost minimizing and profit-maximizing amounts of L, K and F. How much F (Fuel) should the firm use?   A. F=7.   B. F=12.   C. F=16.   D. F=19.   E. F=25.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

A firm estimates its production function as Q = -2.4 + 20*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2*L + $2.5*K + $1.75*F. The firm can sell all the output it wishes at $200 per unit. Use Excel to find the cost minimizing and profit-maximizing amounts of L, K and F. How much F (Fuel) should the firm use?

  A.

F=7.

  B.

F=12.

  C.

F=16.

  D.

F=19.

  E.

F=25.

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