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 per gallon, 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 of butterfat? The company should buy gallons from Dairy I and gallons from Dairy II.

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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 $2.40 per gallon, 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 of butterfat?
The company should buy gallons from Dairy I and
gallons from Dairy II.
Transcribed Image Text: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 per gallon, 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 of butterfat? The company should buy gallons from Dairy I and gallons from Dairy II.
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