4. The Hop-a-Long pet food Company makes dry pellet food for rabbits from two ingredients (A and B). Ingredient A provides 16 units of protein, 6 units of fat, and 4 units of vitamin per pound. Ingredient B provides 8 units of protein, 10 units of fat, and 8 units of vitamin per pound. Ingredients A and B cost $0.50 and $0.20 per pound respectively. The company wants its rabbit food to contain at least 12 units of protein, no more than 8 units of fat, and at least 6 units of vitamin per pound of food at a minimal cost.
Write the linear formulation to determine how much of each ingredient should be included in each pound of food.
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