A manufacturer has been selling 1600 television sets a week at $390 each. A market survey indicates that for each $20 rebate offered to a buyer, the number of sets sold will increase by 200 per week. a) Find the demand function p(x), where is the number of the television sets sold per week. p(x) = 590 - I 10 b) How large rebate should the company offer to a buyer, in order to maximize its revenue? $ 2300 x c) If the weekly cost function is 104000 + 130x, how should it set the size of the rebate to maximize its profit? $ 30 x

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