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:

Color Tag System

A method of organization in which different colors are used to categorize and prioritize items, often used in inventory control or emergency triage.

Biological Agents

Microorganisms or biologically derived substances that can cause disease or be used in biotechnology or biowarfare.

Psychological Terrorist Threat

A form of psychological warfare where threats are used to instill fear or influence behavior.

Radiological Exposure

Exposure to ionizing radiation, such as X-rays or gamma rays, that can come from medical imaging or environmental sources.