The production function of a firm is estimated to be Q=f(K,L)= KL + L. Market conditions require that the firm produce 200 units of output. Wage rate (w) is equal to 2 TL, while the price of capital (r) is equal to 1 TL. a) How much labour (L) and capital (K) should be used by the firm? b) Assume that the market conditions lead the firm to produce 242 units. What would the firm's optimal choice of K and L be in the short run? How about long run? c)

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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2.
The production function of a firm is estimated to be Q=f(K, L) = KL+ L.
Market conditions require that the firm produce 200 units of output. Wage rate
(w) is equal to 2 TL, while the price of capital (r) is equal to 1 TL.
How much labour (L) and capital (K) should be used by the firm?
Assume that the market conditions lead the firm to produce 242 units.
What would the firm's optimal choice of K and L be in the short run?
How about long run?
What is the loss caused by the firm's inability to change the combination
of K and L immediately? (What is the extra cost to be incurred in the
short run)
a)
b)
c)
d)
Transcribed Image Text:2. The production function of a firm is estimated to be Q=f(K, L) = KL+ L. Market conditions require that the firm produce 200 units of output. Wage rate (w) is equal to 2 TL, while the price of capital (r) is equal to 1 TL. How much labour (L) and capital (K) should be used by the firm? Assume that the market conditions lead the firm to produce 242 units. What would the firm's optimal choice of K and L be in the short run? How about long run? What is the loss caused by the firm's inability to change the combination of K and L immediately? (What is the extra cost to be incurred in the short run) a) b) c) d)
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