Question

1. Mrs. Brooks, the dietitian at YMCA is planning breakfast for young campers. The dietician is required to provide a breakfast menu that satisfies the minimum nutrient requirements at the lowest cost. Two types of food items are being considered to be part of the breakfast: pieces of toast and sausage. A piece of toast contains 2 milligrams of vitamin A, 3 milligrams of vitamin B, and 2 milligrams of iron. A piece of sausage contains 4 milligrams of vitamin A, 1 milligram of vitamin B, and 3 milligrams of iron. The minimum breakfast requirements of these nutrient elements for young campers are to be: Nutrient Requirement(mg) Vitamin A 20 Vitamin B 15 Iron 16 Also, Mrs. Brooks is required to abide by American Medical Association recommendation, that having more than four pieces of sausage for breakfast is not good for young people. The unit costs of the food are; a piece of toast costs 4 cents and a piece of sausage costs 8 cents. Formulate this as a linear programming problem so that Mrs. Brooks can come up with the number of pieces of toast and the number of pieces of sausage for

breakfast menu that will minimize cost while meeting all requirements.

Answer 1

Formulating linear programming model