Home /
Expert Answers /
Calculus /
a-manufacturer-has-been-selling-1700-television-sets-a-week-at-420-each-a-market-survey-indicates-pa233

A manufacturer has been selling 1700 television sets a week at $$420$ each. A market survey indicates that for each $$19$ rebate offered to a buyer, the number of sets sold will increase by 190 per week. a) Find the demand function $p(x)$, where $x$ is the number of the television sets sold per week. $p(x)=$ b) How large rebate should the company offer to a buyer, in order to maximize its revenue? c) If the weekly cost function is $119000+140x$, how should it set the size of the rebate to maximize its profit? Question Help: $□$ Video

we use derivative rule to solve the problems

Solution

A manufacturer has been selling let x= 1700 television sets a week at let P(x)= $420 each.

A market survey indicates that for each$19rebate

new price p(x)=

offered to a buyer, the number of sets sold will increase by 190 per week.

new sale =

therefore using these two points

Multiply both sides by .

Simplify.

Move all terms not containing to the right side of the equation.

Live Sessions

Online Lab Report Help

Online Project Report Help

Online Assignment Help

Essay Writing Help

CPM Homework Help

Mortgage Calculator

Electrical Engineering

Civil Engineering

Chemical Engineering

Electronics and Communication Engineering

Mathematics

Physics

Chemistry

Software Works/ Computer Science

Other Subjects

100% Correct Solutions

24/7 Availability

One stop destination for all subject

Cost Effective

Solved on Time

Plagiarism Free Solutions

Confidentiality