Linear Programming model, statistics homework help


20  Anna Broderick is the
dietician 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
She selects the menu from seven basic food items, as follows,
with the nutritional contributions per pound and the cost as given:
(per lb.) Iron
(mg/lb.) Protein
(g/lb.) Carbo-hydrates
(g/lb.) Fat (g/lb.) Chol-esterol
(mg/lb.) Cost
Chicken 520 4.4 17 0 30 180 0.80
Fish 500 3.3 85 0 5 90 3.70
Ground beef 860 0.3 82 0 75 350 2.30
Dried beans 600 3.4 10 30 3 0 0.90
Lettuce 50 0.5 6 0 0 0 0.75
Potatoes 460 2.2 10 70 0 0 0.40
Milk (2%) 240 0.2 16 22 10 20 0.83
The dietician wants to select a menu to meet the nutritional
guidelines while minimizing the total cost per serving.
1.  Formulate a linear
programming model for this problem.
2. Solve the model by using the computer
2.  If a serving of each of
the food items (other than milk) was limited to no more than a half pound, what
effect would this have on the solution?
3.  Solve using excel QM
4.  Need step by step
instructions on how to correctly input in excel program
5.  Need LP max
6.  Need shadow price
7.  Results of sensitivity

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