5. A company is increasing the production of a product at the rate of 25 units per week. The demand and cost functions for the product are given by p = 50 - 0.01x and 50 -0.01x and C=4000+40x-0.02x² where x is the number of units produced per week. Find the rate of change of the profit with respect to time when the weekly sales at x = 800 units.

5. A company is increasing the production of a product at the rate of 25 units per week. The demand and cost functions for the product are given by p = 50 - 0.01x and 50 -0.01x and C=4000+40x-0.02x² where x is the number of units produced per week. Find the rate of change of the profit with respect to time when the weekly sales at x = 800 units.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 19E: Find the instantaneous rate of change for each function at the given value. f(x)=x2+2x at x=0

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