A manufacture has been selling 1250 television sets a week at $360 each. A market survey indicates that for each $29 rebate offered to a buyer, the number of sets sold will increase by 290 per week. a) Find the demand function p(m), which gives the price as a function of a: television sets sold per week. b) What rebate amount should the company offer to a buyer, in order to maximize its revenue? - c) If the weekly cost function is 75000 | 1203:, then how should it set the size of the rebate to maximize its profit