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
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F640d1db9-125e-4dc1-8e89-8da9114a9083%2Fd22b7515-0975-4541-b077-196b3d250ecb%2Fdhib8fn_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
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