Formulate but Do Not Solve the Following Exercise as a Linear

question 19

Multiple Choice

Formulate but do not solve the following exercise as a linear programming problem. ​
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 fluid-oz) cartons. To make one carton of pineapple-orange juice requires 7 oz each of pineapple and orange juice concentrates. To make one carton of orange-banana juice requires 12 oz of orange juice concentrate and 4 oz of banana pulp concentrate. Finally, to make one carton of pineapple-orange-banana juice requires 5 oz of pineapple juice concentrate, 6 oz of orange juice concentrate, and 3 oz of banana pulp. The company has decided to allot 16,000 oz of pineapple juice concentrate, 25,000 oz of orange juice concentrate, and 3,000 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 500 cartons. Its profit on one carton of pineapple-orange juice is $1.10; its profit on one carton of orange-banana juice is $0.90, and its profit on one carton of pineapple-orange-banana juice is $0.80. To realize a maximum profit, how many cartons of each blend should the company produce?
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• A) Maximize: Subject to:
• B) Maximize: Subject to:
• C) Maximize: Subject to:
• D) Maximize: Subject to:

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Definitions:

Contingent Reinforcement

A behavior modification technique where the delivery of a reward or punishment is dependent on the occurrence of a specific behavior.

Punish Openly

A controversial management practice where disciplinary actions or penalties are publicly administered to deter undesirable behavior.

Valued Reward

A benefit or recognition provided to individuals for their performance or behavior, which holds significant worth to the recipient.

Verbal Praise

Recognition given through words to appreciate and motivate an individual or team.