A manufacturer has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per week. Round your answers to the nearest dollar.
A manufacturer has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per week. Round your answers to the nearest dollar (a) Find the demand function (price as a function of units sold) 11x + 1000 | x p(x) = (b) How large a rebate should the company offer the buyer in order to maximize its revenue? $ 175 (c) If the company experiences a cost of C(x) = 62,000 + 150x, how should the manufacturer set the size of the rebate in order to maximize its profit? $125.54