A company produce and sell q units of product. The demand function was given as D(q) = 50 – 0.5q, while cost function was C(q) = 10q + 30. Find:
a) Profit function, P(q).
b) Profit of the company when the company manages to produce and sell 25 unit of product.
c) The quantity that will maximize the total profit.
d) The value of maximum total profit.
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