Mrs. Brooks, the dietitian at YMCA is planning breakfast for young campers. The dietician is required...

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Mrs. Brooks, the dietitian at YMCA is planning breakfast for young campers. The dietician is required to provide a menu that satisfies the minimum nutrient requirements at the lowest cost. Three types of food items are being considered for the breakfast: toast, cereal and sausage. A piece of toast contains 1 milligram of vitamin A, 3 milligrams of vitamin B, 2 milligrams of iron, and provides 50 calories. A cup of cereal provides 1.5 milligrams of vitamin A, 4 milligrams of vitamin B, 2.5 milligrams of iron, and provides 70 calories. A piece of sausage contains 0.5 milligrams of vitamin A, 5 milligrams of vitamin B, 6 milligrams of iron, and provides 100 calories. The minimum breakfast requirement of these nutrient elements are to be: Minimum Requirement 40 mg 25 mg 15 mg 1200 calories Nutrient Vitamin A Vitamin B Iron Calories Also Mrs. Brooks wishes to abide by these additional Medical Association recommendations that having more than three pieces of sausage, as well as more than 3000 calories for breakfast are not good for young people. The unit costs of the food are: a piece of toast costs 2 cents, a cup of cereal costs 3 cents and a piece of sausage costs 4 cents. Formulate this as a linear programming problem so that Mrs. Brooks would know how much of each food item to put in the breakfast menu in order to minimize cost. Mrs. Brooks, the dietitian at YMCA is planning breakfast for young campers. The dietician is required to provide a menu that satisfies the minimum nutrient requirements at the lowest cost. Three types of food items are being considered for the breakfast: toast, cereal and sausage. A piece of toast contains 1 milligram of vitamin A, 3 milligrams of vitamin B, 2 milligrams of iron, and provides 50 calories. A cup of cereal provides 1.5 milligrams of vitamin A, 4 milligrams of vitamin B, 2.5 milligrams of iron, and provides 70 calories. A piece of sausage contains 0.5 milligrams of vitamin A, 5 milligrams of vitamin B, 6 milligrams of iron, and provides 100 calories. The minimum breakfast requirement of these nutrient elements are to be: Minimum Requirement 40 mg 25 mg 15 mg 1200 calories Nutrient Vitamin A Vitamin B Iron Calories Also Mrs. Brooks wishes to abide by these additional Medical Association recommendations that having more than three pieces of sausage, as well as more than 3000 calories for breakfast are not good for young people. The unit costs of the food are: a piece of toast costs 2 cents, a cup of cereal costs 3 cents and a piece of sausage costs 4 cents. Formulate this as a linear programming problem so that Mrs. Brooks would know how much of each food item to put in the breakfast menu in order to minimize cost.