A manufacture has been selling 1550 television sets a week at $450 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week. a) Find the demand function p ( x ) , where x 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 116250 + 150 x , how should it set the size of the rebate to maximize its profit? $