Amanufacturer has been selling 1000 flat-screen tvs a week at $350 each. a market survey indicates that for each $10 rebate offered to the buyer, the number of tvs sold will increase by 100 per week
(a) find the demand function (price p as a function of units sold x).
(b) how large a rebate should the company offer the buyer in order to maximize its revenue?
(c) if its weekly cost function is c(x) = 73,000 + 110x, how should the manufacturer set the size of the rebate in order to maximize its profit?