Suppose that the output Q (in units) of a certain company is  Q = 75K^1/3L^2/3,  where K is the capital expenditures in thousands of dollars and L is the number of labor hours.  Find ∂Q/∂K when capital expenditures are $2,744,000 and the labor hours total 2744. Interpret ∂Q/∂K.  If labor hours remain at 2744 and K increases by $1000, Q will increase

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that the output Q (in units) of a certain company is 
Q = 75K^1/3L^2/3,
 where K is the capital expenditures in thousands of dollars and L is the number of labor hours. 

Find ∂Q/∂K when capital expenditures are $2,744,000 and the labor hours total 2744. Interpret ∂Q/∂K. 
If labor hours remain at 2744 and K increases by $1000, Q will increase about how much??                                                                                                                                                                                                       Find ∂Q/∂L when capital expenditures are $2,744,000 and the labor hours total 2744. (Round your answer to the nearest whole number.)                                                                                                                                                                                                                                                                                          Interpret ∂Q/∂L. 
If capital expenditures remain at $2,744,000 and L increases by one hour, Q will increase about how much??

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