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3. Given the initial tableau in a standard linear programming problem, determine which column and row you should pivot on. Circle the pivot row and column. Perform the operations to create the next tableau (with cleared column for the new active variable). y s1 s2 s3 s1 1 -1 6. s2 -1 1 1 4 s3 1 1 1 4 -2 -1 1

3. Given the initial tableau in a standard linear programming problem, determine which column and row you should pivot on. Circle the pivot row and column. Perform the operations to create the next tableau (with cleared column for the new active variable). y s1 s2 s3 s1 1 -1 6. s2 -1 1 1 4 s3 1 1 1 4 -2 -1 1

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Linear Programming Tableau **Problem 3:** Given the initial tableau in a standard linear programming problem, determine which column and row you should pivot on. Circle the pivot row and column. Perform the operations to create the next tableau (with cleared column for the new active variable). #### Initial Tableau: | | x | y | s1 | s2 | s3 | p | |-------|----|----|----|----|----|---| | **s1** | 1 | 2 | -1 | 0 | 0 | 6 | | **s2** | -1 | 1 | 0 | 1 | 0 | 4 | | **s3** | 1 | 1 | 0 | 0 | 1 | 4 | | | -2 | -1 | 0 | 0 | 1 | 0 | Note: - In a linear programming tableau, the bottom row (except for the rightmost entry) usually represents the negative of the coefficients of the objective function. - The rightmost column represents the constants in the constraints. - The tableau is updated by choosing a pivot element, which is in the column with the most negative value in the bottom row and the row that provides the minimum positive ratio of the rightmost column to the pivot column entry.
Transcribed Image Text:### Linear Programming Tableau **Problem 3:** Given the initial tableau in a standard linear programming problem, determine which column and row you should pivot on. Circle the pivot row and column. Perform the operations to create the next tableau (with cleared column for the new active variable). #### Initial Tableau: | | x | y | s1 | s2 | s3 | p | |-------|----|----|----|----|----|---| | **s1** | 1 | 2 | -1 | 0 | 0 | 6 | | **s2** | -1 | 1 | 0 | 1 | 0 | 4 | | **s3** | 1 | 1 | 0 | 0 | 1 | 4 | | | -2 | -1 | 0 | 0 | 1 | 0 | Note: - In a linear programming tableau, the bottom row (except for the rightmost entry) usually represents the negative of the coefficients of the objective function. - The rightmost column represents the constants in the constraints. - The tableau is updated by choosing a pivot element, which is in the column with the most negative value in the bottom row and the row that provides the minimum positive ratio of the rightmost column to the pivot column entry.
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