Isabel D.

asked • 10/07/20

Linear Programming, Algebra 2 Question

In order to ensure optimal health and accurate test results, a lab technician needs to feed the rabbits a daily diet containing a minimum of 24 grams of fat, 36 g of carbohydrates, and 4 g of protein. But the rabbits should be fed no more than 5 ounces of food a day. Rather than order rabbit food that is custom-blended, it is cheaper to order Food X and Food Y and blend them for an optimal mix. Food X contains 8 g of fat, 12 g of carbs, and 2 g of protein per ounce, and costs $.20/oz. Food Y contains 12 g of fat, 12 g of carbs, and 1 g of protein per ounce, and costs $.30/oz. What is the optimal blend to minimize cost?

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