Until recently, hamburgers at the city sports arena cost $5.80 each. The food concession stand sold an average of 11,000 hamburgers on game night. When the price was raised to $6:30, hamburger sales dropped off to an average of 8,500 per night. (a) Assuming a linear demand curve, find the price of a hamburger that will maximize the nightly hamburger revenue. What is the maximum revenue? How many hamburgers will be sold? (Hint: Start with finding the linear demand equation) (b) If the concession stand 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. What is the maximum profit? How many hamburgers will be sold