Hampton Grant
05/11/2023 · Middle School

You run an animal shelter facility and are asked to purchase food supply for the next month. You normally purchase two types of food, Purina and Natural Choice. Purina costs \( \$ 180 \) per bag. Each bag weighs 80 pounds and can feed as many as six animals per month. The Natural Choice bag costs \( \$ 110 \), weighs 60 pounds, and can feed four animals per month. There is a new type of food, Pedigree, which you must consider purchasing. Pedigree food costs \( \$ 110 \) per bag. Each bag of Pedigree weighs 180 pounds and can feed as many as 16 animals per month. You have been given a maximum budget of \( \$ 2,800 \) for this purchase, although you don't have to spend that much. The facility has room for no more than 2,000 pounds. You can only buy whole bags of each food. Create an adequate mode and solve it in Excel to maximize the number of animals to be fed during the month.

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To maximize the number of animals fed, purchase 10 bags of Purina, 10 bags of Natural Choice, and 10 bags of Pedigree. This totals $3,000 in cost and 3,200 pounds in weight, feeding 260 animals.

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