1 / 8

Linear Programming - Cabinets

Linear Programming - Cabinets. By Stephanie Scott. Problem.

clyde
Download Presentation

Linear Programming - Cabinets

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Linear Programming - Cabinets By Stephanie Scott

  2. Problem • Your company produces cabinets using two different processes. The number of assembly hours required for each process is listed in the table below. You can use up to 3000 hours of machine time, up to 3600 hours of skilled labor, and up to 3600 hours of unskilled labor. The profit from Process A is $50 per cabinet and the profit from Process B is $70 per cabinet. How many cabinets should you make with each process to obtain a maximum profit? • Process A Process B Machine Time 1 2 Skilled Labor 2 2 Unskilled Labor 3 1

  3. Variables • Process A = X • Process B= Y

  4. Constraints • x+2y < 3000 • 3x+y < 3600 • 2x+2y < 3600 • X > 0 • Y > 0

  5. Objective Function • In Process A we make $50 • In Process B we make $70 • So the objective function is • P=X50+Y70

  6. Graph • On paper

  7. Max & Min • Points (0, 1500), (600, 1200), (900, 900), and (1200,0) • Plug the points into the objective function P=X50+Y70 • P=(o)50+(1500)70, =105000 • P=(600)50+(1200)70, =114000, Max • P=(900)50+(900)70, = 108000 • P=(1200)50+(0)70, = 60000, Min

  8. Conclusion • I learned that in reality that you can use linear programming to answer questions in real life situations such as finding the min or the max on a profit. 600 cabinets in Process A and 1200 cabinets in Process B will make the most money.

More Related