# three mcqs – Answer required

### Question 8

1.

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Three sections of the computer output for a linear program are shown below.

2

0.0

Constraint

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Slack/Surplus

Dual Value

10

0.0

1

Variable

Lower Limit

Current Value

Upper Limit

100.0

130.0

150.0

ConstraintLower LimitCurrent ValueUpper Limit2

200.0

300.0

400.0

Under which of the following change will the set of binding constraints to the original model be different from the one to the new model?

### Question 9

1.                                 Three sections of the computer output for a linear program are shown below.ConstraintSlack/SurplusDual Value2100.00.0 VariableLower LimitCurrent ValueUpper Limit1100.0130.0150.0 ConstraintLower LimitCurrent ValueUpper Limit2200.0300.0400.0

What will happen if the objective function coefficient for variable 1 increases by 10?

### Question 10

1.                                 Three sections of the computer output for a linear program are shown below.ConstraintSlack/SurplusDual Value2100.00.0 VariableLower LimitCurrent ValueUpper Limit1100.0130.0150.0 ConstraintLower LimitCurrent ValueUpper Limit2200.0300.0400.0

What will happen if the right-hand side value for constraint 2 increases by 150?

Nothing. The optimal solution and the objective function value at the optimal solution will not change.             The objective function value at the optimal solution will change, but the optimal solution will remain the same.             The new model will need to be resolved to determine the optimal solution and dual values.             None of the above is true.

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