A dairy company gets milk from two dairies and then blends the milk to get the...
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
?$2.402.40
per? gallon, and milk from dairy II costs
?$0.800.80
per gallon. At most
?$144144
is available for purchasing milk. Dairy I can supply at most
5050
gallons averaging
3.73.7?%
?butterfat, and dairy II can supply at most
8080
gallons averaging
2.92.9?%
butterfat. The company can buy at most 100 gallons of milk. 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
nothing
gallons from dairy I and
nothing
gallons from dairy II.
What is the maximum amount of? butterfat?
nothing
gallons
?(Type an integer or a? decimal.)
b. The solution from part a leaves both dairy I and dairy II with excess capacity. Calculate the amount of additional milk each dairy could produce.
The excess capacity of dairy I is
nothing
?gallons, and for dairy II it is
nothing
gallons.
Is there any way all this capacity could be used while still meeting the other? constraints? Explain.
A.
?Yes,
1010
more gallons can be bought from dairy I and
2020
more from dairy II without going over budget.
B.
?Yes,
1010
more gallons can be bought from dairy I without going over budget.
C.
No. Any more milk purchased from either dairy will go over budget.
D.
?Yes,
1010
more gallons can be bought from dairy I without going over budget.
Homework Answers
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A dairy company gets milk from two dairies and then blends the
milk to get the...
A dairy company gets milk from two dairies and then blends the milk to get the...
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 Il costs $0.80 per gallon. At most $144 is available for purchasing milk. Dairy I can supply at most 50 gallons averaging 3.9% butterfat, and dairy Il can supply at most 90 gallons averaging 2.9% butterfat. Answer parts a and b. a. How much milk from each supplier...
A dairy company gets milk from two dairies and then blends the milk to get the...
A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy 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 3.9% butterfat, and dairy Il can supply at most 90 gallons averaging 2.9% butterfat. Answer parts a and b. a How much milk from each supplier should...
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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 Il costs $0.80 per gallon. At most $144 is available for purchasing milk. Dairy I can supply at most 50 gallons averaging 3.9% butterfat, and dairy Il can supply at most 90 gallons averaging 2.9% butterfat. Answer parts a and b. a. How much milk from each supplier...
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