Operations Management
Operations Management
14th Edition
ISBN: 9781260238891
Author: Stevenson
Publisher: MCG
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Chapter 19, Problem 8P

For Problem 6b:

a. Find the range of feasibility for each constraint, and interpret your answers.

b. Determine the range of optimality for each coefficient of the objective function. Interpret your results.

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Find decision variables, objective function, constraints and non-negativity constraints An auto company manufactures cars and trucks. Each vehicle must be processed in the paint shop and body assembly shop. If the paint shop were only painting trucks, 40 per day could be painted. If the paint shop were only painting cars, 60 per day could be painted. If the body shop were only producing cars, it could process 50 per day. If the body shop were only producing trucks, it could process 50 per day. Each truck contributes $300 to profit and each car contributes $200 to profit. In addition, the auto company can produce at most 30 trucks and 20 cars. The company wants to determine the daily production schedule that will maximize the company’s profit. Formulate the LP model for the problem.
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