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shoemaker problem

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A shoe maker sells a new model of athletic shoe for $90. On average, the store sells 45 pairs of these shoes each week. Jason, the sale manager, estimates that he will sell four additional pairs of shoes each week for every $5 reduction in the price.

Find the following:

1- A quadratic function modeling the store’s average weekly revenue from the sale of these shoes as related to reduction in price.

2- The range of price which would allow he store to maintain or increase its current weekly revenue from these shoes.

3- The maximum amount by which the store can increase its revenue from these shoes each week. Round of to the nearest whole dollar.

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