# Linear programming - daily production totals of a certain product

As a supervisor of a production department, you must decide the daily production totals of a certain product that has 2 models, the deluxe and the special.

The profit on the deluxe model is $12 per unit and the profit on the special model is $10 per unit.

Each model goes through two phases in the production process, and there are only 100 man- hours available daily at the construction stage and only 80 man-hours available at the finishing stage.

Each deluxe model requires 20 minutes of construction time and 10 minutes of finishing time.

Each special model requires 15 minutes of construction time and 15 minutes of finishing 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

c. What is that profit?

(Complete problem also found in attachment)

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#### Solution Preview

As a supervisor of a production department, you must decide the daily production totals of a certain product that has 2 models, the deluxe and the special.

The profit on the deluxe model is $12 per unit and the profit on the special model is $10 per unit.

Each model goes through two phases in the production process, and there are only 100 man- hours available daily at the construction stage and only 80 man-hours available at the finishing stage.

Each deluxe model ...

#### Solution Summary

This solution formulates a linear programming problems and finds a solution that gives maximum profit. The answer is attached in a .doc file and the real text portion is in the text box.