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. It must also sell at least 30 hot dogs but CANNOT cook more than 70. The snack bar cannot cook more than 90 items total. The profit on a hamburger is $ 8, and the profit on a hot dog is $ 21. How many of each item should it sell to make the maximum profit?
Formulate this problem to a linear programming model.
Solution
Decision Variables:
Objective function:
Constraint: