A manufacture has been selling 1850 television sets a week at $420 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 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 eekly cost function is 129500+ 140x, how should it set the size of the rebate to maximize its profit? $