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A Manager of a Quality Testing Team Wanted to Test

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Essay

A manager of a quality testing team wanted to test different lots of products using three resources, R1, R2, and R3. Each lot can be tested for quality using any one of the three procedures, P1, P2, or P3. The product once tested will be sent for packaging. The profit contribution per lot for each of these procedures varies and they are $4, $5, and $8, respectively. Also, resource A requires 2 hours, 3 hours, and 4 hours to test a lot using the procedure P1, P2, and P3, respectively. Resource B requires 3 hours, 2 hours, and 3 hours using the procedure P1, P2, and P3, respectively. Lastly, resource C requires 2 hours, 3 hours, and 4 hours using the procedure P1, P2, and P3, respectively. The available times for these three resources are 80 hours, 90 hours, and 65 hours, respectively. Formulate and solve a linear program and solve for the optimal solution for the above scenario by maximizing the profit.a. What will be the change in total profit, if machine M3 is given an extra hour of production time?


Definitions:

Heterosexual Couples

Partnerships wherein individuals are attracted to members of the opposite sex, typically within the context of romantic or marital relationships.

Violent Acts

Behaviors that involve physical force intended to hurt, damage, or kill someone or something.

Childhood Maltreatment

Adverse experiences during childhood, including abuse and neglect, impacting an individual's development and wellbeing.

MAO

Monoamine oxidase, an enzyme that breaks down neurotransmitters such as serotonin and dopamine, playing a role in mood regulation.

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