lecture14aa - Lecture 2/20/08 Assumptions of Linear...

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Lecture 2/20/08 Assumptions of Linear Programming Classification of Solutions Graphical Method of Solution
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Summary of the LP Model for Blue Ridge Hot Tubs MAX: 350X 1 + 300X 2 S.T.: 1X 1 + 1X 2 200 9X 1 + 6X 2 1566 12X 1 + 16X 2 2880 X 1 0 X 2 0
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Assumptions for an LP Proportional Assumption 1. Contribution of objective function from each decision variable is proportional to the value of the variable. 2. Example: The contribution to the objective function of making 2 Aqua-Spas (2*$350=$700) is twice the contribution of making 1 Aqua-Spa ($350)
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Assumptions for an LP A Additivity Assumption 1. The contribution to the objective function is independent of values of other decision variables. 2. Example-The profit contribution for X 1 Aqua Spas will always be 350X 1 irregardless of how many Hydro-Luxes are produced.
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A Divisibility Assumption 1. Each decision variable is allowed to be fractional. 2. Example: acceptable to
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lecture14aa - Lecture 2/20/08 Assumptions of Linear...

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