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Linear Programming

CHAPTER 6 SUPPLEMENT: Linear Programming

Linear Programming is a problem solving approach that has been developed to help managers to make decisions. The following situations describe some typical applications of Linear programming:
1. Selecting a product mix in a factory to make a best use of machine- and labour-hours available while maximizing the firm’s profit.

Slides prepared by Romulus Cismaru University of Regina

Copyright © 2006 McGraw-Hill Ryerson Limited

6S-1

Copyright © 2006 McGraw-Hill Ryerson Limited

6S-2

Linear Programming some typical applications of Linear programming:

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Product Standard Bag: price $10 (3 hour cutting; 2 hour Sewing ) Deluxe Bag : Price $9 (3 hour cutting; 2 hour Sewing )
How to maximize revenue?

Cutting 630 hours Sewing 600 hours

2. Picking blend or raw materials in feed mills to produce finished feed combinations at minimum cost. 3. Determining the distribution that will minimize total shipping cost from several warehouses to various markets locations. 4. A manufacturer wants to develop a production schedule and an inventory policy that will satisfy sales demand in future periods.

Copyright © 2006 McGraw-Hill Ryerson Limited

6S-3

Copyright © 2006 McGraw-Hill Ryerson Limited

6S-4

Requirements of Linear Programming Problems 1. LP problems seek to maximize or minimize some quantity (usually profit or cost). We refer to this property as the objective function of an LP problem. 2. The presence of restrictions, or constraints, limits the degree to which we can pursue our objective. 3. There must be alternative courses of action to choose from. 4. The objective and constraints in linear programming problems must be expressed in terms of Linear equations or inequalities.
Copyright © 2006 McGraw-Hill Ryerson Limited 6S-5

Linear Programming Model
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