A Restaurant Supply Company Must Ship at Least 120 Cases $\$ 14.40$

Essay

A restaurant supply company must ship at least 120 cases of cheese to two midwest restaurants. Each restaurant can accommodate at most 120 cases of cheese. Restaurant A already has 30 cases of cheese on hand, while restaurant B already has 24 cases. It costs $\$ 14.40$ to ship a case of cheese to restaurant A and $\$ 12$ to ship a case of cheese to restaurant B. How many cases should be shipped to each restaurant to minimize cost? What is the minimum cost?