Daily production totals of certain product

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Reference no: EM133826861

Question

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 decided that the Special model must comprise at least 40 percent of the production total, and for every 3 Deluxe models produced, at least 2 Special models must be produced to meet market demand for the Special model. Additionally, the company has set a maximum production limit of 60 Deluxe models per day due to raw material constraints. Formulate the problem as an LP model using the following decision variables:

X1 = number of Deluxe models

X2 = number of Special models

 

Reference no: EM133826861

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