A Manager of a Quality Testing Team Wanted to Test

question 22

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?

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Definitions:

Passivity

A trait or behavior characterized by a lack of response or action in situations where one might be expected to engage or make a decision.

Rough and Tumble

A form of play involving physical activities like running, climbing, and play-fighting, important for a child's development.

Vocalization

The act of producing sound or voice through the vocal cords, a common method of communication in many species.

Mutual Gazing

The act of two individuals looking into each other's eyes at the same time, often indicating interest, affection, or connection.