Question: Please use excel to answer and show work Healthy Snacks Co. produces snack mixes. Recently, the company has decided to introduce a new snack mix
Please use excel to answer and show work
Healthy Snacks Co. produces snack mixes. Recently, the company has decided to introduce a new snack mix that has peanuts, raisins, pretzels, dries cranberries, sunflower seeds and pistachios. Each bag of the new snack is designed in order to hold 250 grams of the snack. The company has decided to market the new product with a emphasis on its health benefits. After consulting nutritionists, Healthy Snacks decides to mix the ingredients so that the snack has the following specifications:
1 - Total calories <= 800
2 - Fat <= 20
3 - Sodium <= 200
4 - Potassium <= 700
5 - Carb <= 140
6 - Protein >= 10
7 - Vitamin A >= 3
8 - Vitamin B6 >= 25
9 - Vitamin C >= 2
10 - Iron >= 15
11 - Calcium >= 5
Table below shows the amount of each nutrition in each snack's ingredient per 1 gram:
| peanut | raisin | pretzel | dried cranberries | sunflower seed | pistachio | |
| Calories | 5.67 | 3.00 | 1.00 | 3.08 | 5.84 | 5.62 |
| Fat (g) | 0.49 | 0.00 | 0.01 | 0.01 | 0.51 | 0.06 |
| Sodium (mg) | 0.18 | 0.12 | 3.32 | 0.03 | 0.09 | 0.01 |
| Potassium (mg) | 7.05 | 7.49 | 0.36 | 0.40 | 6.45 | 10.25 |
| Carb (g) | 0.16 | 0.79 | 0.21 | 0.83 | 0.20 | 0.28 |
| Protein (g) | 0.26 | 0.03 | 0.03 | 0.00 | 0.21 | 0.20 |
| Vitamin A (%) | 0.00 | 0.00 | 0.00 | 0.00 | 0.01 | 0.08 |
| Vitamin B-6 (%) | 0.17 | 0.12 | 0.00 | 0.00 | 0.68 | 0.85 |
| Vitamin C (%) | 0.00 | 0.02 | 0.00 | 0.00 | 0.02 | 0.09 |
| Iron (%) | 0.25 | 0.09 | 0.07 | 0.03 | 0.29 | 0.21 |
| Calcium (%) | 0.09 | 0.05 | 0.00 | 0.00 | 0.07 | 0.10 |
Table below shows the cost of each ingredients per 1 gram:
| peanut | raisin | pretzel | dried cranberries | sunflower seed | pistachio | |
| cost per 1 gram ($) | $ 0.005 | $ 0.020 | $ 0.013 | $ 0.013 | $ 0.022 | $ 0.031 |
Per marketing department research, each bag of snack should have at least 10 grams of each ingredient. Having this information, answer the following questions. Please make sure that the information is easy to read and understand.
2 - Use Excel Solver to solve the formulated LP and find the optimum values of each ingredient that should be included in the snack bag as well as optimum cost of one bag. The correct solution will be >=$3.95 and <=$4.00.
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