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Question: a lampmaker manufactures her lamps at 4 each and sells...

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A lamp-maker manufactures her lamps at $4 each and sells them at $6 each and, at this sales price, sells 3,000 lamps per month. The manufacturer wishes to increase her revenue and is considering increasing her sales price, however, her market research suggests that for each 50 cent increase she will sell 350 fewer lamps each month. Assuming a linear relationship between the sales price and the number of lamps sold, express the manufacturer’s monthly profit as a function of the increase in her sales price.

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