Question 4: Linear Programming Formulation (29 points) Zafer and Bahar run a day care for preschoolers. They are trying to decide what to feel the children for lunches. They would like to keep their costs dowa, but they aho need to meet the nutritional requirements of the children. They have already decided to go with the peast butter and jelly sandwiches, and some combination of milk and orange wice. The municional content of each food choice and its cost are given in the table below Calones Vitamin C from fal Tocal Calories Protein (20) (mg) Costs (cents) Bread (1 slice) 15 80 0 4 20 Peanut butter (1 tbsp.) 85 100 0 15 Strawberry jelly (1 tbsp.) 0 50 5 25 Milk (1 cup) 90 200 3 9 55 Juice (1 cup) D 100 150 2 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 I 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 5 0