A manufacturer has been selling 1000 flat-screen TVs aweek at $450 each. A market survey indicates that for each $10rebate offered to the buyer, the number of TVs soldwill increase by 100 per week.(a) Find the demand function.(b) How large a rebate should the company offer the buyerin order to maximize its revenue?(c) If its weekly cost function is  C(x) =68,000 +15x,how should the manufacturer set the size of the rebatein order to maximize its profit?

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