14. The average cost function, C (x), and profit function, P(x) of product A are given as : Č(x) 57 -- 89 +7x P(x) =-x° + 147 x² + 150x – 1555 (a) Find the total cost function. (b) Determine the marginal profit function. (c) Find the value of q which maximize the total profit and calculate the maximum profit. 161 (d) Show that the revenue function, R(x) = -x3 +x² + 61x – 1612 (e) Determine the total revenue when the total profit is maximized.

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