production function when K is fixed at 6000 units. Recall that 9 = 0.02KL0.5 and r = .05 and w = 45. Calculate your SR production function (round any numbers to 4 decimal places). Q=.02K^.5L^.5 q=.02(6000)^.5L^.5 q= (1.5491L^.5)^2 Q = 2.4L Calculate your FC. FC = (0.05) (6000) = 300 I Derive the equation for your VC (as a function of q) Q=2.4L L =f(Q) = L = (Q/2.4) VC=WL = VC = 45(L) = 45(Q/2.4) = 18.75Q Derive the equation for your TC (as a function of q) TC 18.75Q + 450

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
Section: Chapter Questions
Problem 2E
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production function when K is fixed at 6000 units. Recall that 9 = 0.02KL5 and r = .05
and w = 45.
Calculate your SR production function (round any numbers to 4 decimal places).
Q = .02K^.5L^.5
q = .02(6000)^.5L^.5
q = (1.5491L^.5)^2
Q = 2.4L
Calculate your FC.
FC = (0.05) (6000) = 300
I
Derive the equation for your VC (as a function of q)
Q = 2.4L L =f(Q) = L = (Q/2.4)
VC = WL = VC = 45(L) = 45(Q/2.4) = 18.75Q
Derive the equation for your TC (as a function of q)
TC 18.750 + 450
Transcribed Image Text:production function when K is fixed at 6000 units. Recall that 9 = 0.02KL5 and r = .05 and w = 45. Calculate your SR production function (round any numbers to 4 decimal places). Q = .02K^.5L^.5 q = .02(6000)^.5L^.5 q = (1.5491L^.5)^2 Q = 2.4L Calculate your FC. FC = (0.05) (6000) = 300 I Derive the equation for your VC (as a function of q) Q = 2.4L L =f(Q) = L = (Q/2.4) VC = WL = VC = 45(L) = 45(Q/2.4) = 18.75Q Derive the equation for your TC (as a function of q) TC 18.750 + 450
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