Anna Broderick is the dietitian for the State University football team, and she is attempting to determine a nutritious lunch menu for the team. She has set the following nutritional guidelines for each lunch serving: Between 1,500 and 2,000 calories At least 5 mg of iron At least 20 but no more than 60 g of fat At least 30 g of protein At least 40 g of carbohydrates No more than 30 mg of cholesterol The dietitian wants to select a menu to meet the nutritional guidelines while minimizing the total cost per serving. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer. c. If a serving of each of the food items (other than milk) were limited to no more than a half pound, what effect would this have on the solution? SNIPP

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Anna Broderick is the dietitian for the State University football team, and she is attempting to determine a nutritious lunch menu for the team. She
has set the following nutritional guidelines for each lunch serving:
Between 1,500 and 2,000 calories
At least 5 mg of iron
At least 20 but no more than 60 g of fat
At least 30 g of protein
At least 40 g of carbohydrates
No more than 30 mg of cholesterol The dietitian wants to select a menu to meet the nutritional guidelines while minimizing the total cost per serving.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.
c. If a serving of each of the food items (other than milk) were limited to no more than a half pound, what effect would this have on the solution? SNIPP

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