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**tttcomrader** A manufacture has been selling 1650 tv sets a week at 420 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(x), where x is the number of the television sets sold perweek. p(x) =

b) How large rebate should the company offer to a buyer, in order to maximize its revenue?

c) If the weekly cost function is 115500 + 140x. How should it set the size of the rebate to maximize its profit?