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.What is an appropriate objective function?
A)Maximize 2D + 2.5S
B)Maximize 12D + 10S
C)Maximize 4D + 2.5S
D)Maximize 100D + 80S

Question

Quizplus · Accepted Answer

The objective function should be to maximize profit. Since the profit per unit of Deluxe model is $12 and that of the Special model is $10, we can use the objective function as 12D + 10S (where D is the number of Deluxe models produced and S is the number of Special models produced).

As a Supervisor of a Production Department, You Must Decide