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:

Non-Controlling Interests

The portion of equity in a subsidiary not attributable directly or indirectly to the parent company, sometimes referred to as minority interest.

Retained Earnings

Profits that a company retains for reinvestment in its operations, rather than distributing to shareholders as dividends.

Reporting Period

A specified duration of time for which an organization prepares its financial statements and reports to present its financial performance and position.

Tax Adjustments

Modifications made to financial statements to account for differences between accounting practices and tax regulations.