What is the main purpose of introducing an artificial variable in the simplex method?
Correct answer: A. To create an initial basic feasible solution
- A. To create an initial basic feasible solution
- B. To increase the objective function value
- C. To remove a non-negativity restriction
- D. To convert a maximization into minimization
Explanation
Artificial variables provide an initial basis when slack or surplus variables cannot do so. The Big M or two-phase method later forces these temporary variables out of the solution.
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About Linear Programming
Linear programming models the maximum or minimum of an objective function subject to linear constraints. Questions involve translating word conditions into inequalities, drawing the feasible region, identifying corner points and evaluating the objective function, including cases involving non-negativity restrictions and redundant constraints.
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