The stadium vending company finds that sales of hot dogs averages 34,000 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.
a) assume x is the number of hot dogs and y is the price. find a linear price equation for the given data.
b) find the revenue function and the (x, y) coordinates for the maximum revenue.
c) what price per hot dog should the vending company charge to realize the maximum revenue?