Can someone help with the problem below?
The answer I get satisfies 5/6 constraints - Not sure if I am doing something wrong? I need it to satisfy all 6 constraints.
The chart is all messed up when i copy paste so I have attached the word document with the chart and also the excel document with my attempt on the solution.
Sandra Robles is the dietitian for a College basketball 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 1500 and 2000 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 contribution per pound and the cost as given.
Calories
(per lb) Iron
(mg/lb) Protein
(g/lb) Carbohydrates
(g/lb) Fat
(g/lb) Cholesterol
(mg/lb) $/lb
Chicken 520 4.4 17 0 30 180 3.44
Fish 500 3.3 85 0 5 90 3.99
Ground beef 860 0.3 82 0 75 350 4.99
Dried beans 600 3.4 10 30 3 0 1.10
Lettuce 50 0.5 6 0 0 0 0.90
Potatoes 460 2.2 10 70 0 0 0.59
Milk (2%) 240 0.2 16 22 10 20 0.83
Sandra wants to select a menu to meet the nutritional guidelines while minimizing the total cost per serving.
Please help Sandra to formulate a linear programming model and solve it using Excel Solver.
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