Simplex Algorithm - Slack Variables & Initial Tableau (Edexcel A-Level Further Mathematics): Flashcards

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Simplex Algorithm - Slack Variables & Initial Tableau
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Simplex algorithm purpose

A systematic method for solving linear programming problems (maximising or minimising)

Slack variables definition

Variables added to \leq constraints to convert them into equations

Slack variables represent

Unused capacity

x+y6x + y \leq 6 with slack variable

x+y+s1=6x + y + s_1 = 6, s10s_1 \geq 0

Initial tableau structure

Rows for constraints, columns for variables

Initial basic variables

Slack variables

RHS in tableau meaning

Right-hand side of equations

Z-row in maximisation tableau

Negative of objective function

Negative Z-row values meaning

Potential for improvement

Z-row in minimisation tableau

Positive coefficients (not negative)

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