Business MathematicsNEB 2081
In simplex method, x + 2y 4 is written as x + 2y + k = 4 . What is k known as ? a) Basic variable b) Slack variable c) Surplus variable d) Pivot element
1Answer
In the simplex method, inequalities are converted into equations by introducing additional variables. The inequality is rewritten as , where is a slack variable.
Explanation:
- Slack variable is added to convert an inequality into an equality.
- It represents the unused capacity of the constraint.
- For constraints, the slack variable is always non-negative.
- In this case, ensures the equation holds true while maintaining the original inequality.
Thus, the correct answer is (b) Slack variable.
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