GATE ME 2017 Set 2 — Question 51
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Industrial Engineering → Operations Research → LP (Graphical & Simplex)
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Question
Maximize ,
subject to
,
,
.
In the starting Simplex tableau, and are non-basic variables and the value of is zero. The value of in the next Simplex tableau is ____________.
subject to
,
,
.
In the starting Simplex tableau, and are non-basic variables and the value of is zero. The value of in the next Simplex tableau is ____________.
Correct answer
40 to 40
Solution
1.Convert inequalities to equations using slack variables :
2.Starting tableau: Non-basic variables are . Basic variables are . .
3.Entering variable: has the most negative coefficient in the -row ().
4.Leaving variable: Perform ratio test:
For : For :
Minimum ratio is 8, so leaves the basis.
5.Next tableau: enters the basis at the value of the minimum ratio, . remains non-basic ().
6.New value of .
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