Reference no: EM133024044
Question - Tuckered Outfitters plans to market a custom brand of packaged trail mix. The ingredients for the trail mix will include Raisins, Grain, Chocolate Chips, Peanuts and Almonds costing, respectively, $2.50, $1.50, $2.00, $3.50 and $3.00 per pound. The vitamin, mineral, and protein content of each of the ingredients (in grams per pound) is summarized in the following table along with the calories per pound of ingredient:
|
|
Raisins
|
Grain
|
Chocolate Chips
|
Peanuts
|
Almonds
|
|
Vitamins
|
20
|
10
|
10
|
30
|
20
|
|
Minerals
|
7
|
4
|
5
|
9
|
3
|
|
Protein
|
4
|
2
|
1
|
10
|
1
|
|
Calories
|
450
|
160
|
100
|
300
|
500
|
The company would like to identify the least costly mix of these ingredients that provides at least 40 grams of vitamins, 15 grams of minerals, 10 grams of protein, and 600 calories per 2-pound package. Additionally, they want each ingredient to account for at least 5% and no more than 50% of the weight of the package.
Required -
1. Formulate the LP model for this problem.
2. Create the spreadsheet model and use Solver to solve the problem.
3. What is the optimal mix, and how much is the total ingredient cost per package?