A manufacturer of a popular digital camera wholesales the camera to retail outlets throughout the world. Using statistical methods, the financial department in the company produced the following price-demand function and corresponding revenue function.       p(x)=94.8-5x       R(x)=x(94.8-5x) Where p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in millions of dollars). Both functions have a domain of 1 less and equal than x less and equal than 15 Find the value of x to the nearest thousand cameras that will generate the maximum revenue. What is the maximum revenue? What is the wholesales price per camera that generates the maximum revenue? What is the company's break-even point(s) if the cost function is         C(x)=156+19.7x

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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A manufacturer of a popular digital camera wholesales the camera to retail outlets throughout the world. Using statistical methods, the financial department in the company produced the following price-demand function and corresponding revenue function.

      p(x)=94.8-5x

      R(x)=x(94.8-5x)

Where p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in millions of dollars). Both functions have a domain of

1 less and equal than x less and equal than 15

Find the value of x to the nearest thousand cameras that will generate the maximum revenue. What is the maximum revenue?

What is the wholesales price per camera that generates the maximum revenue?

What is the company's break-even point(s) if the cost function is

        C(x)=156+19.7x

      

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