A snack bar cooks and sells hamburgers and hot dogs during football games. To stay in business, it must sell at least 10 hamburgers, but cannot cook more than 40. The snack bar must also sell at least 30 hot dogs, but cannot cook more than 70. Due to limited grill space, they can only cook a total of 90 food items. The profit on hamburgers is $1.20 and the profit on hot dogs is $2. How many of each item should be sold to maximize profit? What is the maximum profit?