Question

A firm's production function is 4/11/2 = 0 when $50 has been paid, and zero otherwise. The unit prices of capital and labor are r = $27 and w = $4, respectively. This firm's long-run total cost function is:

TC = 50 + Q

TC = 50 +29Q/2

$TC = 50 + 58Q/3$

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TC = 50 + 270

Score: 1 of 1
2.

Suppose the capital input is fixed in the short-run at the level K = 8 for the firm in question 1. What is the output level at which this capital amount is the long-run choice?

Q = 53

Q = 12

Q = 15

Q = 8

Need help with question 2.

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Answer #1

The optimal choice of input combination in long run,

MPk/r=MPlL/w

(2*L^1/3)/(3*27*k^1/3=(k^2/3)/(3*4*L^2/3)

8L=27K

So K=8,

8L=27*8

L=27

Q=8^2/3*27^1/3=4*3=12

Option B is right

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