A manufacture has been selling 1150 television sets a week at 420 dollars each. A market survey indicates that for each 11 -dollar rebate offered to a buyer, the number of sets sold will increase by 110 per week.

a) find the demand function p(x), where x is the number of television sets sold per week, assuming p(x) is linear. p(x)=?

b)how large of a rebate should the company offer a buyer in order to maximize its revenue

c)if the weekly cost function is 80500 +140x how should it set the size of its rebate in order to maximize profit?

Question

A manufacture has been selling 1150 television sets a week at 420 dollars each. A market survey indicates that for each 11 -dollar rebate offered to a buyer, the number of sets sold will increase by 110 per week. 

a) find the demand function p(x), where x is the number of television sets sold per week, assuming p(x) is linear. p(x)=?

b)how large of a rebate should the company offer a buyer in order to maximize its revenue 

c)if the weekly cost function is 80500 +140x how should it set the size of its rebate in order to maximize profit?