What is the marginal product of labor function, Mathematics

Your engineering department estimated the following production function.

Q = 15L2 - 0.5L3

a. What is the marginal product of labor function, MPL?

b. What is the average product of labor function, APL?

c.  What is the value of L that maximizes Q?

d. What is the value of L at which average product is maximized?

 

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