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# (Solved): Suppose that the output Q (in units) of a certain company is Q = 75K^(1/3)L^(2/3) where K is the ...

Suppose that the output Q (in units) of a certain company is Q = 75K^(1/3)L^(2/3) where K is the capital expenditures in thousands of dollars and L is the number of labor hours. 1. Find ∂Q/∂K when capital expenditures are \$729,000 and the labor hours total 4096. (Round your answer to the nearest whole number.) ∂Q/∂K =_____________units per thousand dollars 2. Interpret ∂Q/∂K. If labor hours remain at 4096 and K increases by \$1000, Q will increase about _________ units. 3. Find ∂Q/∂L when capital expenditures are \$729,000 and the labor hours total 4096. (Round your answer to the nearest whole number.) ∂Q/∂L = _________units per labor hour 4. Interpret ∂Q/∂L. If capital expenditures remain at \$729,000 and L increases by one hour, Q will increase about _________ units.

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