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If the demand function of monopolist is given \(P = 100 - Q\) and its cost function is given by \(C(Q) = 100 + 10Q + 4Q^2\) . a. Find the value of Q…

bitm Basic Mathematics · 2024 · Solved Question with Answer

If the demand function of monopolist is given \(P = 100 - Q\) and its cost function is given by \(C(Q) = 100 + 10Q + 4Q^2\).

a. Find the value of Q at which the revenue is maximum. Also find the maximum revenue.

b. Find the value of Q at which profit is maximum. Also find the maximum profit.

c. Find the price (P) at which profit is maximum

d. Also, determine the intervals at which profit function is increasing or decreasing.

Solution

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