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Question:
Tuckered Outfitters plans to market a custom brand of packaged trail mix. The ingredients for the trail mix will include Raisin, Grain, Chocolate Chips, Peanuts, and Almonds costing, respectively, $2.50, $1.50, $2.00, $4,00 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 ingredients:
Raisins
Grain
Chocolate
Peanuts
Almonds
Vitamins
20
10
30
Minerals
7
4
6
9
3
Protein
2
1
Calories
450
160
500
300
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.
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