Big-M Method (Edexcel A-Level Further Mathematics): Quizzes

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Big-M Method
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What is the Big-M method an alternative to?

Two-stage Simplex method

For maximisation problems, what coefficient is used with MM for artificial variables?

Negative coefficient −M-M

For minimisation problems, what coefficient is used with MM for artificial variables?

Positive coefficient +M+M

Which variables are added for constraints with ≥\geq?

Surplus and artificial variables

Which variable is added for constraints with ≤\leq?

Slack variable

Why are artificial variables assigned a large penalty MM in the objective function?

To ensure they are removed from solution

For maximisation, what is the modified objective function with artificial variables?

Z=Z = original −M- M(artificial)

What must happen to artificial variables to achieve an optimal solution?

They must exit the basis

What is a common mistake regarding MM-term signs in maximisation problems?

Using +M+M instead of −M-M

What is Step 2 in the Big-M method process?

Modify objective to include MM terms

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