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 55 gallons averaging 3.7% butterfat, and Dairy II can supply at most 80 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.
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 55 gallons averaging 3.7% butterfat, and Dairy II can supply at most 80 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.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 113CM
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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 55 gallons averaging 3.7% butterfat, and Dairy II can supply at most 80 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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