Simplex Algorithm (Edexcel A-Level Further Mathematics): Quizzes

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Simplex Algorithm - Slack Variables & Initial Tableau
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What is the Simplex algorithm commonly used for?

Maximising or minimising objective functions

What do slack variables represent in linear programming?

Unused capacity

How is the constraint x+y6x + y \leq 6 converted using a slack variable?

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

In the initial tableau, which variables are the basic variables?

Slack variables

What does RHS stand for in the simplex tableau?

Right-hand side

For maximisation, how is Z=3x1+2x2Z = 3x_1 + 2x_2 represented in the ZZ-row?

3,2-3, -2 (negative coefficients)

For minimisation of Z=4x1+3x2Z = 4x_1 + 3x_2, what are the ZZ-row coefficients?

4,34, 3 (positive)

At the initial tableau, what are the values of decision variables x1x_1 and x2x_2?

Both equal to 0

What do negative values in the ZZ-row indicate?

Potential for improvement

What is a common mistake when setting up the objective function row?

Not converting to negative form

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