A manufacture has been selling 1150 television sets a week at $390 each. A market survey indicates that for each $26 rebate offered to a buyer, the number of sets sold will increase by 260 per week. a) Find the demand function p(a), 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? c) If the weekly cost function is 74750 + 130x, how should it set the size of the rebate to maximize its profit