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Mathematics, 13.09.2019 20:10 smithlanija65

a monopolist faces the demand function p = 140 − 2q, with p denoting the market price and q denoting the quantity demanded.
there is a fixed cost of 200, the total variable cost function is t v c(q) = 1 3q3 − 10q2 + 188q.
(a) obtain an expression for the profit function f(q), defined for q > 0.
(b) determine the derivative of the profit function.
(c) for what value(s) of q the derivative of the profit function equals to zero? explain your answer carefully
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