Determine boundaries of the three stages of production


Given the following short-run production function (x = variable input, Q = output):

Q = 3x2 - 0.1x3

(a) Determine the marginal product function (MPx) and the average product function (APx ).
(b) Find the value of x that maximizes Q.
(c) Find the value of x for which MPx is maximum.
(d) Find the value of x for which APx is maximum.
(e) Determine the boundaries of the three stages of production

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Microeconomics: Determine boundaries of the three stages of production
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