(1 point) A manufacture has been selling 1400 television sets a week at $450 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 function representing the demand p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price. p(x) = b) How large rebate should the company offer to a buyer, in order to maximize its revenue? dollars c) If the weekly cost function is 105000 + 150x, how should it set the size of the rebate to maximize its profit? dollars