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Setting Up the Initial Simplex Tableau and Finding the Pivot Element. Example 4.2 # 17 Produced by E. Gretchen Gascon. Questions to ask yourself. What is being maximized? This will be the object function Things like maximize profit are used in this equation
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Setting Up the Initial Simplex Tableau and Finding the Pivot Element Example 4.2 # 17 Produced by E. Gretchen Gascon
Questions to ask yourself • What is being maximized? • This will be the object function • Things like maximize profit are used in this equation • What constraints is this function being subjected to? • These are the inequality equations
The Problem Let x1 be the # of church groups, x2 be the # of labor unions
Definition of Slack variables From p -156 of text
Adding the Slack Variables Look at the maximize function. Now add the slack variables to each of the subject to functions.
Questions • Post a question in the Main forum or in your individual forum. • Give me a call • This problem is completed in the slide presentation on the simplex method
Finding the Pivot Element 1- Find the Most Negative Indicator – Look in the bottom row. 2- Decide on the pivot element by finding the smallest non-negative quotient in the column 16/2 = 8 or 12/3 = 4 The winner is…. 3