A manufacture has been selling 1950 television sets a week at $420 each. A market survey indicates that 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 a 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 136500+ 140x, how should it set the size of the rebate to maximize its profit?
A manufacture has been selling 1950 television sets a week at $420 each. A market survey indicates that 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 a 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 136500+ 140x, how should it set the size of the rebate to maximize its profit?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 88E
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![A manufacture has been selling 1950 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 is the number of the television sets sold per week.
X
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 136500 + 140x, how should it set the size of the rebate to maximize its
profit?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d56d87b-1ee4-40b0-9831-f06655864a4b%2F529d2e3f-2207-4682-8e27-54a0d77feb61%2Fh5blt8k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A manufacture has been selling 1950 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 is the number of the television sets sold per week.
X
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 136500 + 140x, how should it set the size of the rebate to maximize its
profit?
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