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, then 40 per day could be painted. If the paint shop were only painting cars, then 60 per day could be painted. If the body shop were only producing cars, then it could process 50 per day. If the body shop were only producing trucks, then it could process 50 per day. Each truck contributes $300 to profit, and each car contributes $200 to profit. Use linear program- ming to determine a daily production schedule that will maximize the company's profits.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
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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, then 40
per day could be painted. If the paint shop were only painting cars, then 60 per day could
be painted. If the body shop were only producing cars, then it could process 50 per day.
If the body shop were only producing trucks, then it could process 50 per day. Each truck
contributes $300 to profit, and each car contributes $200 to profit. Use linear program-
ming to determine a daily production schedule that will maximize the company's profits.
Transcribed Image Text: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, then 40 per day could be painted. If the paint shop were only painting cars, then 60 per day could be painted. If the body shop were only producing cars, then it could process 50 per day. If the body shop were only producing trucks, then it could process 50 per day. Each truck contributes $300 to profit, and each car contributes $200 to profit. Use linear program- ming to determine a daily production schedule that will maximize the company's profits.
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