Question 4: Linear Programming Formulation (20 points) Zafer and Bahar run a day care for preschoolers. They are trying to decide what to feed the children for lunches. They would like to keep their costs down, but they also need to meet the nutritional requirements of the children. They have already decided to go with the peanut butter and jelly sandwiches, and some combination of milk and orange juice. The nutritional content of each food choice and its cost are given in the table below: Calories Vitamin C Protein Costs Total Calories from fat (mg) (g) (cents) Bread (1 slice) 15 80 0 20 Peanut butter (1 tbsp.) 85 100 0 15 Strawberry jelly (1 tbsp.) 0 50 5 25 Milk (1 cup) 90 200 3 55 Juice (1 cup) 0 100 150 75 The nutritional requirements are as follows: Each child should receive between 500 and 700 calories. . No more than 25% of the total calories should come from fat. Each child should consume at least 70 milligrams (mg) of vitamin C and 15 grams (g) of protein. Furthermore, for practical reasons: o each child needs exactly 2 slices of bread (to make the sandwich), O at least twice as much peanut butter as jelly, and o at least 1 cup of liquid (milk OR juice) and at most 2 cups of liquid. Zafer and Bahar would like to select the food choices for each child that minimize cost (in dollars, $) while meeting the above requirements. Formulate the corresponding linear programming model. Define the decision variables, objective function, and constraints. DO NOT SOLVE. 46092 5