A catering company is to make lunch for a business meeting. It will serve ham sandwiches, light ham sandwiches, and vegetarian sandwiches. A ham sandwich has 1
serving of vegetables, 4 slices of ham, 1 slice of cheese, and 2 slices of bread. A light
ham sandwich has 2 serving of vegetables, 2 slices of ham, 1 slice of cheese and 2 slices
of bread. A vegetarian sandwich has 3 servings of vegetables, 2 slices of cheese, and 2
slices of bread. A total of 10 bags of ham are available, each of which has 40 slices; 18
loaves of bread are available, each with 14 slices; 200 servings of vegetables are
available, and 15 bags of cheese, each with 60 slices, are available. Given the resources,
how many of each sandwich can be produced if the goal is to maximize the number of
sandwiches?