Until recently, hamburgers at the city sports arena cost $5.50 each. The food concessionaries sold an average of 6,250 hamburgers on game night. When the price was raised to $6.50, hamburger sales dropped off to an average of 4,500 per night.

(a) Assuming a linear demand curve, find the price of a hamburger that will maximize the nightly hamburger revenue.

(b) If the concessionaire had fixed costs of $2,500 per night and the variable cost is $0.70 per hamburger, find the price of a hamburger that will maximize the nightly hamburger profit.

To maximize nightly hamburger revenue, the price of a hamburger should be calculated using the linear demand curve. Additionally, considering fixed costs of $2,500 per night and a variable cost of $0.70 per hamburger, the price that maximizes nightly hamburger profit can also be determined.

To provide specific prices, the necessary calculations involving demand elasticity and cost analysis must be performed.