Linear Programming: Modeling Examples

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Presentation transcript:

Linear Programming: Modeling Examples Chapter 4

A Product Mix Example Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall

A Product Mix Example Problem Definition Four-product T-shirt/sweatshirt manufacturing company. Must complete production within 72 hours Truck capacity = 1,200 standard sized boxes. Standard size box holds12 T-shirts. One-dozen sweatshirts box is three times size of standard box. $25,000 available for a production run. 500 dozen blank T-shirts and sweatshirts in stock. How many dozens (boxes) of each type of shirt to produce? Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall

A Product Mix Example Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall

A Product Mix Example Data Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall

A Diet Example Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall

Data and Problem Definition A Diet Example Data and Problem Definition Breakfast to include at least 420 calories, 5 milligrams of iron, 400 milligrams of calcium, 20 grams of protein, 12 grams of fiber, and must have no more than 20 grams of fat and 30 milligrams of cholesterol. Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall

Computer Solution with Excel A Diet Example Computer Solution with Excel Exhibit 4.5 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall

An Investment Example Formulate a linear programming model for the problem Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall

Computer Solution with Excel An Investment Example Computer Solution with Excel Exhibit 4.7 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall