Answer all questions. Formulate as a linear programming problems according to procedures in the examples shown in the slides. 1. Mrs. Brooks, the dietitian at YMCA is planning breakfast for young campers. The dictician 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: picces 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) 20 Vitamin A Vitamin B Iron 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 picces of toast and the number of pieces of sausage for breakfast menu that will minimize cost while meeting all requirements. Eagle Packaging Company (EPC) makes medium and large packaging boxes. Each medium packaging box requires 9 square feet of cardboard, while cach large packaging box requires 11 square feet of cardboard. Each box must pass through fabricating and assembly departments. In the fabricating department, each medium box requires 0.15 labor hour and each large box requires 0.2 labor hours. In the assembly department, each box requires 0.25 labor hour regardless of size. Presently, fabricating department has a maximum of 45 labor hours daily, and assembly department has a maximum of 30 labor hours daily that can be assigned to the production of the two types of boxes. Cardboard is limited to 900 square feet daily. Due to warehouse limitations, no more than 100 large boxes can be made each day. Also, due to customer demand, at least 35 medium boxes must be produced Medium boxes yield a profit of S13 each, and large ones yield $17 profit each. Formulate this problem as a linear programming model, to determine the number of each type of packaging box to produce daily, that will maximize profit for EPC