Question

If C(x) = 11000 + 600x - 3.2x^2 + 0.004x^3 is the cost function and p(x) = 3000 - 8x is the demand function, find the production level that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.)

Name: if cx 11000 600x 32x2 0004x3 is the cost function and px 3000 8x is the demand function find the production level that will maximize profit hint if the profit is maximized then the marginal 92225
Uploaded: 2023-07-20T22:49:43-08:00
Duration: 2 min 21 s
Channel: Zack A
Description: if cx 11000 600x 32x2 0004x3 is the cost function and px 3000 8x is the demand function find the production level that will maximize profit hint if the profit is maximized then the marginal 92225

          If C(x) = 11000 + 600x - 3.2x^2 + 0.004x^3 is the cost function and p(x) = 3000 - 8x is the demand function, find the production level that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.)

Added by Stephen N.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zack A

07/20/2023

Step 1

- The cost function, C(x), represents the total cost of producing x items. - The demand function, p(x), represents the price at which x items can be sold. - We need to find the production level (x) that maximizes profit. Show more…

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If C(x) = 11000 + 600x - 3.2x^2 + 0.004x^3 is the cost function and p(x) = 3000 - 8x is the demand function, find the production level that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.)