Question

In: Advanced Math

CalJuice Company has decided to introduce three fruit juices made from blending two or more concentrates....

CalJuice Company has decided to introduce three fruit juices made from blending two or more concentrates. These juices will be packaged in 2-qt (64-oz) cartons. One carton of pineapple-orange juice requires 8 oz each of pineapple and orange juice concentrates. One carton of orange-banana juice requires 12 oz of orange juice concentrate and 4 oz of banana pulp concentrate. Finally, one carton of pineapple-orange-banana 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 pineapple-orange-banana juice should not exceed 680 cartons. Its profit on one carton of pineapple-orange juice is $1.00, its profit on one carton of orange-banana juice is $0.80, and its profit on one carton of pineapple-orange-banana juice is $0.90. To realize a maximum profit, how many cartons of each blend should the company produce?

pineapple-orange juice     cartons
orange-banana juice     cartons
pineapple-orange-banana 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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Expert Solution

Colby Messinger answered 1 month ago
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