Question:

A manufacture has been selling 1950 television sets a week

Last updated: 8/8/2022

A manufacture has been selling 1950 television sets a week

A manufacture has been selling 1950 television sets a week at $540 each. A market survey indicates that for each $12 rebate offered to a buyer, the number of sets sold will increase by 120 per week. a) Find the demand function p(x), where 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 175500 + 180x, how should it set the size of the rebate to maximize its profit? $ ___