At what level of labor input average productivity is maximum, Microeconomics

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At what level of labor input average productivity is maximum

Suppose the production function for widgets is given by:

Q = KL - 0.8K2 - 0.2L2

where Q represents the quantity of widgets produced, K represents the annual capital input and L represents annual labor input.

(a) For K = 10, what is the average productivity of labor equal to?
(b) At what level of labor input does this average productivity reach a maximum? How many widgets are produced at this point?
(c) Again assuming that K = 10, what is the marginal product of labor equal to?
(d) Graph the APL and MPL curves.

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Microeconomics: At what level of labor input average productivity is maximum

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