A manufacture has been selling 1350 television sets a week at $450 each. A market survey indicates that for each $18 rebate offered to a buyer, the number of sets sold will increase by 180 per week. a) Find the demand function p(z), where z 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? S c) If the weekly cost function is 101250 + 150z, how should it set the size of the rebate to maximize its profit?
A manufacture has been selling 1350 television sets a week at $450 each. A market survey indicates that for each $18 rebate offered to a buyer, the number of sets sold will increase by 180 per week. a) Find the demand function p(z), where z 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? S c) If the weekly cost function is 101250 + 150z, how should it set the size of the rebate to maximize its profit?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![A manufacture has been selling 1350 television sets a week at $450 each. A market survey indicates that for
each $18 rebate offered to a buyer, the number of sets sold will increase by 180 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?
S
c) If the weekly cost function is 101250+ 150z, 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%2Ffd3b30ad-a333-48cf-84bf-e035bc3f5068%2Ffab9b02b-758a-4190-a8ec-eb5b8cec6d73%2F8caxhag_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A manufacture has been selling 1350 television sets a week at $450 each. A market survey indicates that for
each $18 rebate offered to a buyer, the number of sets sold will increase by 180 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?
S
c) If the weekly cost function is 101250+ 150z, how should it set the size of the rebate to maximize its
profit?
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