(1 pt) A manufacture has been selling 1550 television sets a week at 510 each. A market survey indicates that for each 14 rebate offered to a buyer, the number of sets sold will increase by 140 per week. a) Find the demand function P(X) , where x is the number of the television sets sold per week. b) How large rebate should the company offer to a buyer, in order to maximize its revenue? c) If the weekly cost function is 131750 + 170x, how should it set the size of the rebate to maximize. I'm stuck on how to find the demand function

Question

(1 pt) A manufacture has been selling 1550 television sets a week at 510 each. A market survey indicates that for each 14 rebate offered to a buyer, the number of sets sold will increase by 140 per week.  a) Find the demand function P(X) , where x is the number of the television sets sold per week.  b) How large rebate should the company offer to a buyer, in order to maximize its revenue?   c) If the weekly cost function is  131750 + 170x, how should it set the size of the rebate to maximize. I'm stuck on how to find the demand function