college math
posted by Dee
CalJuice Company has decided to introduce three fruit juices made from blending two or more concentrates. These juices will be packaged in 2qt (64oz) cartons. One carton of pineappleorange juice requires 8 oz each of pineapple and orange juice concentrates. One carton of orangebanana juice requires 12 oz of orange juice concentrate and 4 oz of banana pulp concentrate. Finally, one carton of pineappleorangebanana juice requires 4 oz of pineapple juice concentrate, 8 oz of orange juice concentrate, and 4 oz of banana pulp concentrate. The company has decided to allot 16,000 oz of pineapple juice concentrate, 24,000 oz of orange juice concentrate, and 5000 oz of banana pulp concentrate for the initial production run. The company also stipulated that the production of pineappleorangebanana juice should not exceed 860 cartons. Its profit on one carton of pineappleorange juice is $1.00, its profit on one carton of orangebanana juice is $0.80, and its profit on one carton of pineappleorangebanana juice is $0.90. To realize a maximum profit, how many cartons of each blend should the company produce?
pineappleorange juice ________ cartons
orangebanana juice _________ cartons
pineappleorangebanana juice ______ cartons
What is the largest profit it can realize?
$ _________
Are there any concentrates left over? (If so, enter the amount remaining. If not, enter 0.)
pineapple concentrate _________ oz
orange concentrate _______ oz
banana pulp concentrate _________ oz

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