A firm's production function is Q = 100L-6 K-4. The firm's input prices are PL = $40 and PK = $30. The firm wishes to produce Q = 3,000 units of output and minimize the cost of production. How much labor (L) should the firm employ? O A. L=20.96. O B. L=31.45. O C. L=34.26. O D. L=38.45. O E. L=41.22.
A firm's production function is Q = 100L-6 K-4. The firm's input prices are PL = $40 and PK = $30. The firm wishes to produce Q = 3,000 units of output and minimize the cost of production. How much labor (L) should the firm employ? O A. L=20.96. O B. L=31.45. O C. L=34.26. O D. L=38.45. O E. L=41.22.
Chapter7: Production And Cost In The Firm
Section: Chapter Questions
Problem 3.8P
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Transcribed Image Text:A firm's production function is Q = 100L.0 K-4. The firm's input prices are PL = $40 and PK = $30. The firm wishes to produce Q = 3,000 units of output and
minimize the cost of production. How much labor (L) should the firm employ?
O A. L=20.96.
O B. L=31.45.
O C. L=34.26.
O D. L=38.45.
O E. L=41.22.
QUESTION 2
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 wishes to produce 400 units of output. Use Excel to find the cost minimizing amounts of L, K
and F. How much F (Fuel) should the firm use?
O A. F=7.90.
O B. F=9.58.
O C. F=10.75.
O D. F=12.63.
O E. F=14.88.
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