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A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I costs

A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I costs $2.40

2.40 pergallon, and milk from dairy II costs $0.80 per gallon. At most $144 is available for purchasing milk. Dairy I can supply at most 50 gallons averaging 3.7% butterfat, and dairy II can supply at most 90 gallons averaging 2.9% butterfat. Answer parts a and b.

a. How much milk from each supplier should the company buy to get at most 100 gallons of milk with the maximum amount ofbutterfat?

b. The company should buy ___ gallons from dairy I and ___ gallons from dairy II

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