A manufacture has been selling 1700 television sets a week at $390 each. A market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 per week.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
icon
Related questions
Question
Solve perfectly
A manufacture has been selling 1700 television
sets a week at $390 each. A market survey
indicates that for each $13 rebate offered to a
buyer, the number of sets sold will increase by
130 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
110500 + 130x, how should it set the size of
the rebate to maximize its profit?
$4
Transcribed Image Text:A manufacture has been selling 1700 television sets a week at $390 each. A market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 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 110500 + 130x, how should it set the size of the rebate to maximize its profit? $4
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage