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 S12 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

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Need A and B
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 s10. 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.
Formulate this as a linear programming problem.
Find the solution that gives the maximum profit.
(a)
(b)
Transcribed Image Text: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 s10. 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. Formulate this as a linear programming problem. Find the solution that gives the maximum profit. (a) (b)
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