Until recently, hamburgers at the city sports arena cost $2.90 each. The food concessionaire sold an average of 11,000 hamburgers on game night. When the price was raised to $3.40, hamburger sales dropped off to an average of 6,000 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 $2,000 per night and the variable cost is $0.50 per hamburger, find the price of a hamburger that will maximize the nightly hamburger profit. (a) Assuming a linear demand curve, find the price of a hamburger that will maximize the nightly hamburger revenue. The hamburger price that will maximize the nightly hamburger revenue is $ (Round to the nearest cent as needed.)