48 Optimizing Profit For Blended Juice Drinks Caljuice Company Has Decided To Introduce Three Fruit Juices Made From Bl 1 (77.29 KiB) Viewed 15 times
48 Optimizing Profit For Blended Juice Drinks Caljuice Company Has Decided To Introduce Three Fruit Juices Made From Bl 2 (34.44 KiB) Viewed 15 times
48. OPTIMIZING PROFIT FOR BLENDED JUICE DRINKS 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 con- centrate 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. The company has decided to allot 16,000 oz of pineapple juice concen- trate, 24,000 oz of orange juice concentrate, and 5000 oz of banana pulp concentrate for the initial pro- duction run. The company has also stipulated that the production of pineapple-orange-banana juice should not exceed 800 cartons. Its profit on one carton of
240 CHAPTER 4 LINEAR PROGRAMMING: AN ALGEBRAIC APPROACH 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? What is the largest profit it can realize? Are there any concentrates left over? 5
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