1. Until recently hamburgers at the Erwin Center cost $2 each.The food concessionaire sold an average of 10,000 hamburgers on agame night. When the price was raised to $2.40, hamburgers salesdropped off to an average of 8,000 per night. (a) Find the price ofa hamburger that will maximize the nightly hamburger revenue. (b)Suppose that the concessionaire has fixed costs of $1,000 per nightand the variable cost is $0.60 per hamburger. Find the price of ahamburger that will maximize the nightly hamburger profit.
2. A manufacturer needs to make a cylindrical can that will hold1.5 liters of liquid. Determine the dimensions of the can that willminimize the amount of material (top, bottom, and sides) used inits construction.
