Kathy Is on a Diet, Which Allows Her to Eat $\$ 2.40$

Essay

Kathy is on a diet, which allows her to eat Food A (a tonic) and Food B (an elixir). Food A contains 80 grams of protein, 180 grams of vitamins, and 100 calories per ounce. Food B contains 20 grams of protein, 80 grams of vitamins, and 200 calories per ounce. The minimum nutritional requirements are 120 grams of protein and 360 grams of vitamins. The daily intake should not exceed 1600 calories. Each pound of Food A costs 4.80; each pound of Food B costs $\$ 2.40$ . Formulate a linear program specifying the decision variables, constraints, and the objective function that would meet Kathy's nutritional requirements at minimal cost. Solve the problem using the graphical method.