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.