Question
Anne Chang is the dietician for Humber College women's soccer team, and she is attempting to determine a nutritious lunch menu for the team. She
Anne Chang is the dietician for Humber College women's soccer 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 |
Anne wants to select a menu to meet the nutritional guidelines while minimizing the total cost per serving. Please help Anne to formulate a linear programming model and solve it using Excel Solver.
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