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 ChurchLaborMax Writing hrs required 2216 Follow-up hrs required 1312 Money Raised To maximize 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.

Set Up the Initial Simplex Tableau

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 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