You work for a company producing cell phones. The cost C for producing x cell phones is C(x)=240x+50,000. The revenue R received from selling x phones is modeled with the function R(x)=2000x−10x2.What number of cell phones would give your company the maximum profit? Round to the nearest whole number if necessary. How much profit would your company make for this number of phones? Round to the nearest cent if necessary.On the same coordinate system, graph the cost, revenue, and profit functions. Be sure to make your graph large enough to show the appropriate detail and choose appropriate scales on each axis.

Use the application of derivative to find the maximum profit.

Answered: You work for a company producing cell…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.CR: Review Problem Set

Problem 50CR

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You work for a company producing cell phones. The cost C for producing x cell phones is C(x)=240x+50,000. The revenue R received from selling x phones is modeled with the function R(x)=2000x−10x2.

What number of cell phones would give your company the maximum profit? Round to the nearest whole number if necessary. How much profit would your company make for this number of phones? Round to the nearest cent if necessary.
On the same coordinate system, graph the cost, revenue, and profit functions. Be sure to make your graph large enough to show the appropriate detail and choose appropriate scales on each axis.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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