As a Supervisor of a Production Department, You Must Decide

question 47

Essay

As a supervisor of a production department, you must decide the daily production totals of a certain product that has two models, the Deluxe and the Special.The profit on the Deluxe model is $12 per unit and the Special's profit is $10.Each model goes through two phases in the production process, and there are only 100 hours available daily at the construction stage and only 80 hours available at the finishing and inspection stage.Each Deluxe model requires 20 minutes of construction time and 10 minutes of finishing and inspection time.Each Special model requires 15 minutes of construction time and 15 minutes of finishing and inspection time.The company has also decided that the Special model must comprise at least 40 percent of the production total.
(a)Formulate this as a linear programming problem.
(b)Find the solution that gives the maximum profit.

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Definitions:

Free Association

A psychoanalytic technique in which a patient says whatever comes to mind without censoring themselves, revealing unconscious thoughts and feelings.

Psychoanalysis

A therapeutic approach developed by Freud, focusing on exploring unconscious motivations and conflicts.

Therapeutic Technique

A specific method or procedure used in therapy to help individuals overcome their psychological problems.

Eclectic

Employing elements from a diverse range of sources, styles, or ideas.