Given Q = AK" LP; Qo = 2,000, A = 100, a = 0.6, p = 0.8, w = 50, r = 80 A. Does this production function exhibit increasing, decreasing, or constant returns to scale? Explain B. Find the firm's marginal rate of technical substitution of labor for capital. Provide an economic interpretation. C. Solve for the cost-minimizing combination of K and L, and the resulting minimum cost D. If output increases to 4,000, what will be the new cost-minimizing values of K, L, and C?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter7: Production Economics
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Given Q = AK" LB; Q. = 2,000, A = 100, a = 0.6, p = 0.8, w = 50, r = 80
A. Does this production function exhibit increasing, decreasing, or constant returns to scale?
Explain
B. Find the firm's marginal rate of technical substitution of labor for capital. Provide an
economic interpretation.
C. Solve for the cost-minimizing combination of K and L, and the resulting minimum cost
D. If output increases to 4,000, what will be the new cost-minimizing values of K, L, and C?
Transcribed Image Text:Given Q = AK" LB; Q. = 2,000, A = 100, a = 0.6, p = 0.8, w = 50, r = 80 A. Does this production function exhibit increasing, decreasing, or constant returns to scale? Explain B. Find the firm's marginal rate of technical substitution of labor for capital. Provide an economic interpretation. C. Solve for the cost-minimizing combination of K and L, and the resulting minimum cost D. If output increases to 4,000, what will be the new cost-minimizing values of K, L, and C?
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