Answered: A company producing stereos can produce…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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Question

A company producing stereos can produce a stereo for

$112

on top of the company's annual fixed cost of

$512000.

If the price (demand) function for the stereos is given by

p(q)=−0.95q+45000,

how stereos must the company produce and sell to earn a profit of

$2,625,505?

The company must produce

enter your response here

items.

(Make sure to round to nearest integer. If more than one answer, separate by a comma.)

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A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.
A company determines that its weekly profit from manufacturing and selling x units of a certain item is given by Px=-x3+3x2+2880x-500. Use a graphing utility to find the weekly production rate that will maximize the profit.

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A company producing stereos can produce a stereo for ​$112 on top of the​ company's annual fixed cost of ​$512000. If the price​ (demand) function for the stereos is given by p(q)=−0.95q+45000​, how stereos must the company produce and sell to earn a profit of ​$2,625,505​?

A company producing stereos can produce a stereo for $112 on top of the company's annual fixed cost of $512000. If the price (demand) function for the stereos is given by p(q)=−0.95q+45000, how stereos must the company produce and sell to earn a profit of $2,625,505?