WORKSHEET(6.2) Part I & II

# WORKSHEET(6.2) Part I & II - WORKSHEET (6.2) Part I Solve...

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WORKSHEET (6.2) Part I Solve the linear programming using the Simplex Method: Maximize 2 1 10 15 x x P + = Subject to 10 2 2 1 + x x 10 3 2 1 + x x 0 , 2 1 x x Step1: Convert the LP problem to a system of linear equations adding slack variables. Step 2: Set up the initial tableau. P s s P s s x x 2 1 2 1 2 1 Step 3: Chose the pivot column by selecting the most negative indicator in the bottom row. (If you find two equally large negative numbers, it doesn't matter which you choose.) Step 4: Chose the pivot element by using the smallest test ratio in the pivot column. (If there is a tie for the smallest test ratio, choose either.) (If the pivot column has no positive elements, there is no solution, and we stop.) The row with the smallest result is the pivot row . The pivot element is the number in both the pivot column and the pivot row. The entering variable is the variable at the top of the pivot column (x 1 in this case).

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## This note was uploaded on 09/08/2010 for the course MATH 70 at San Jose State.

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WORKSHEET(6.2) Part I & II - WORKSHEET (6.2) Part I Solve...

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