Some of the following exercises are similar or identical to exercises and examples in Chapter 4. Use matrix inverses to find the solutions. We suggest that you invert some of the matrices by hand and others using technology.
Resource Allocation 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?
a. 800 quarts of pineapple juice, 650 quarts of orange juice, 350 quarts of kiwi juice.
b. 650 quarts of pineapple juice, 800 quarts of orange juice, 350 quarts of kiwi juice.
c. A quarts of pineapple juice, B quarts of orange juice, C quarts of kiwi juice.
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Chapter 4 Solutions
Finite Mathematics
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