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:

DSM-5

The fifth edition of the Diagnostic and Statistical Manual of Mental Disorders, a handbook used by healthcare professionals for diagnosing mental disorders.

Subtypes

Distinctive forms or variations within a broader category, often used to classify and describe differences within a specific domain.

Anorexia Nervosa

An eating disorder characterized by an intense fear of gaining weight and a distorted body image, leading to severe restriction of food intake and excessive weight loss.

Thinking Patterns

Cognitive habits or styles that consistently influence how an individual interprets and responds to situations.