A manufacture has been selling 1700 television sets a week at $480 each. A market survey indicates that for each $22 rebate offered to a buyer, the number of sets sold will increase by 220 per week. a) Find the demand function p(a ), where a is the number of the television sets sold per week. p(ac) b) How large rebate should the company offer to a buyer, in order to maximize its revenue? c) If the weekly cost function is 136000 + 160x, how should it set the size of the rebate to maximize its profit? U