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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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14. The average cost function, C (x), and profit function, P(x) of product A are given as :
57
Č(x)
89 + 7x
= -
147
P(x) = -x3 +
x2
2
+ 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)
+Ex2 + 61x – 1612
(e) Determine the total revenue when the total profit is maximized.
Transcribed Image Text:14. The average cost function, C (x), and profit function, P(x) of product A are given as : 57 Č(x) 89 + 7x = - 147 P(x) = -x3 + x2 2 + 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) +Ex2 + 61x – 1612 (e) Determine the total revenue when the total profit is maximized.
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