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The Arctic Juice Company makes three juice blends: PineOrange, using 2 quarts of pineapple juice and 2 quarts of orange juice per gallon; PineKiwi,
The Arctic Juice Company makes three juice blends: PineOrange, using 2 quarts of pineapple juice and 2 quarts of orange juice per gallon; PineKiwi, using 3 quarts of pineapple juice and 1 quart of kiwi juice per gallon; and OrangeKiwi, using 3 quarts of orange juice and 1 quart of kiwi juice per gallon. The amount of each kind of juice the company has on hand varies from day to day. How many gallons of each blend can it make on a day with the following stocks? (Use matrix inverses to find the solutions.) (a) 940 quarts of pineapple juice, 670 quarts of orange juice, 390 quarts of kiwi juice PineOrange PineKiwi gal gal OrangeKiwi gal (b) 740 quarts of pineapple juice, 920 quarts of orange juice, 380 quarts of kiwi juice PineOrange PineKiwi OrangeKiwi gal gal gal (c) A quarts of pineapple juice, B quarts of orange juice, C quarts of kiwi juice PineOrange PineKiwi gal gal OrangeKiwi gal
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