The Stadium Vending Company Finds That Sales of Hot Dogs

The stadium vending company finds that sales of hot dogs average 45,000 hot dogs per game when the hot dogs sell for $2.50 each. For each 50 cent increase in the price, the sales per game drop by 5000 hot dogs. What price
Per hot dog should the vending company charge to realize the maximum revenue?

A) $2.00
B) $4.50
C) $3.75
D) $3.50