A Restaurant Supply Company Must Ship at Least 40 Cases $\mathrm{B}$

A restaurant supply company must ship at least 40 cases of vegetables to two midwest restaurants. Each restaurant can accommodate at most 40 cases of vegetables. Restaurant A already has 10 cases of vegetables on hand, while restaurant $\mathrm{B}$ already has 8 cases. It costs $\$ 4.80$ to ship a case of vegetables to restaurant $\mathrm{A}$ and $\$ 4$ to ship a case of vegetables to restaurant $B$ . How many cases should be shipped to each restaurant to minimize cost? What is the minimum cost?