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please help me solve and understand better A dairy company gets milk from two dairies and then blends the milk to get the desired amount

please help me solve and understand better

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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 55 gallons averaging 3.7% butterfat, and dairy II can 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. What is the maximum amount of butterfat? 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 | | gallons, and for dairy II it is | gallons. Is there any way all this capacity could be used while still meeting the other constraints? Explain. O A. Yes, 15 more gallons can be bought from dairy I without going over budget. O B. Yes, 15 more gallons can be bought from dairy I without going over budget O C. Yes, 15 more gallons can be bought from dairy I and 20 more from dairy Il without going over budget. O D. No. Any more milk purchased from either dairy will go over budget

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