9) A company is increasing the production of a product at the rate of 15 units per week. The demand and cost functions for the product can be modeled by p = 211 - .002x and C = 30x +1,500,000 where x is the number of unites produced per week. Find the rate of change of the profit with %3D respect to time when the weekly sales are x = 1600 units.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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#9 #10
#9)
A company is increasing the production of a product at the rate of 15 units
per week. The demand and cost functions for the product can be modeled
by p = 211 - .002x and C = 30x +1,500,000 where x is the number of
unites produced per week. Find the rate of change of the profit with
respect to time when the weekly sales are x = 1600 units.
#10) Find the point(s), if any, at which the graph of f (x) = x3 - 3x2 + 2
has a horizontal tangent line.
Transcribed Image Text:#9) A company is increasing the production of a product at the rate of 15 units per week. The demand and cost functions for the product can be modeled by p = 211 - .002x and C = 30x +1,500,000 where x is the number of unites produced per week. Find the rate of change of the profit with respect to time when the weekly sales are x = 1600 units. #10) Find the point(s), if any, at which the graph of f (x) = x3 - 3x2 + 2 has a horizontal tangent line.
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