A local sporting goods store sells t-shirts for $25. At this price, the store sells an average of 74 shirts each month. Market research says that for every $2 increase in the price, the manager of the store can expect to sell 4 fewer shirts each month. a) Write a quadratic function to model the revenue in terms of the increase in price.

b) Using your function from a), determine the price the store should sell the t-shirts in order to make the maximum revenue. State this price and the maximized revenue.​