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STAT 2112 Quantitative Methods for Business
Task
Anne Chang is the dietician for 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 |
30 |
180 |
3.44 |
|
|
Fish |
500 |
3.3 |
85 |
5 |
90 |
3.99 |
|
|
Ground beef |
860 |
0.3 |
82 |
75 |
350 |
4.99 |
|
|
Dried beans |
600 |
3.4 |
10 |
30 |
3 |
1.10 |
|
|
Lettuce |
50 |
0.5 |
6 |
0.90 |
|||
|
Potatoes |
460 |
2.2 |
10 |
70 |
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 and answer the following questions.
- What is the cost per meal for the “optimal” plan?
- What is the weight of the “optimal” meal?
- Is it a well-balanced diet?
The complete detailed mathematical LP model including the description of the decision variables. This part can be typed or (neatly) handwritten and then scanned.
Make sure to include the title page. Excel Solver solution printout with the optimal solution. Answer Report generated by Excel Solver. Sensitivity Report generated by Solver Answers to all the questions included in the problem statement.
STAT 2112 Quantitative Methods for Business
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Tellus molestie nunc non blandit massa enim nec dui. Tellus molestie nunc non blandit massa enim nec dui. Ac tortor vitae purus faucibus ornare suspendisse sed nisi. Pharetra et ultrices neque ornare aenean euismod. Pretium viverra suspendisse potenti nullam ac tortor vitae. Morbi quis commodo odio aenean sed. At consectetur lorem donec massa sapien faucibus et. Nisi quis eleifend quam adipiscing vitae proin sagittis nisl rhoncus. Duis at tellus at urna condimentum mattis pellentesque. Vivamus at augue eget arcu dictum varius duis at. Justo donec enim diam vulputate ut. Blandit libero volutpat sed cras ornare arcu. Ac felis donec et odio pellentesque diam volutpat commodo. Convallis a cras semper auctor neque. Tempus iaculis urna id volutpat lacus. Tortor consequat id porta nibh.
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Hac habitasse platea dictumst vestibulum rhoncus est pellentesque. Amet dictum sit amet justo donec enim diam vulputate ut. Neque convallis a cras semper auctor neque vitae. Elit at imperdiet dui accumsan. Nisl condimentum id venenatis a condimentum vitae sapien pellentesque. Imperdiet massa tincidunt nunc pulvinar sapien et ligula. Malesuada fames ac turpis egestas maecenas pharetra convallis posuere. Et ultrices neque ornare aenean euismod. Suscipit tellus mauris a diam maecenas sed enim. Potenti nullam ac tortor vitae purus faucibus ornare. Morbi tristique senectus et netus et malesuada. Morbi tristique senectus et netus et malesuada. Tellus pellentesque eu tincidunt tortor aliquam. Sit amet purus gravida quis blandit. Nec feugiat in fermentum posuere urna. Vel orci porta non pulvinar neque laoreet suspendisse interdum. Ultricies tristique nulla aliquet enim tortor at auctor urna. Orci sagittis eu volutpat odio facilisis mauris sit amet.
Tellus molestie nunc non blandit massa enim nec dui. Tellus molestie nunc non blandit massa enim nec dui. Ac tortor vitae purus faucibus ornare suspendisse sed nisi. Pharetra et ultrices neque ornare aenean euismod. Pretium viverra suspendisse potenti nullam ac tortor vitae. Morbi quis commodo odio aenean sed. At consectetur lorem donec massa sapien faucibus et. Nisi quis eleifend quam adipiscing vitae proin sagittis nisl rhoncus. Duis at tellus at urna condimentum mattis pellentesque. Vivamus at augue eget arcu dictum varius duis at. Justo donec enim diam vulputate ut. Blandit libero volutpat sed cras ornare arcu. Ac felis donec et odio pellentesque diam volutpat commodo. Convallis a cras semper auctor neque. Tempus iaculis urna id volutpat lacus. Tortor consequat id porta nibh.
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