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Mathematics, 27.09.2020 06:01 amandajbrewerdavis

Each week, the DeeLite Milk Company gets milk from three dairies and then blends the milk to get the desired amount of butterfat for the company’s premier product. The average price of milk and milk fat percentage varies from year to year. DeeLite is currently planning to produce at least 1500 gallons per week with at least 3.7% butterfat. Dairy A can supply at most 600 gallons of milk averaging 3.9% butterfat and costing $17.0 per gallon. Dairy B can supply milk averaging 3.5% butterfat costing $13.0 per gallon. There is no practical limit on the amount they can provide DeeLite. Dairy C can supply at most 700 gallon of milk averaging 3.75% butterfat costing $15.45 per gallon. How many gallons of milk should DeeLite get from each Dairy to minimize their cost?

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