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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

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Answer #1

Let the amount of milk bought from Dairy 1 be X gallons

Amount bought from Dairy 2 will be ( 100 - X ) gallons

Cost = 2.40X + ( 100 - X ) 0.80 = 144.00

2.4X + 80 - 0.80X = 144

1.6X = 64

X = 64 / 1.6 = 40 gallons

ANSWER

Dairy 1 = 40 gallons Dairy 2 = 60 gallons

Fat = 40 X 3.9 % = 1.56

60 X 2.9% = 1.74

Maximum Amount of Butterfat = 1.56 + 1.74 = 3.3

b ) Dairy 1 = 50 - 40 = 10 gallons ( excess)

Dairy 2 = 90-60 = 30 gallons ( excess)

Answer is Option a i.e This capacity could be used while meeting other constraints.

Yes 10 more gallons can be brought from Dairy A and 30 more from Dairy B

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