8: LINEAR PROGRAMMING: SENSITIVITY
ANALYSIS AND INTERPRETATION
MULTIPLE CHOICE
1.
To solve a linear programming problem with thousands of variables and constraints
a.
a personal computer can be used.
b.
a mainframe computer is required.
c.
the problem must be partitioned into subparts.
d.
unique software would need to be developed.
2.
A negative dual price for a constraint in a minimization problem means
a.
as the righthand side increases, the objective function value will increase.
b.
as the righthand side decreases, the objective function value will increase.
c.
as the righthand side increases, the objective function value will decrease.
d.
as the righthand side decreases, the objective function value will decrease.
3.
If a decision variable is not positive in the optimal solution, its reduced cost is
a.
what its objective function value would need to be before it could become positive.
b.
the amount its objective function value would need to improve before it could become positive.
c.
zero.
d.
its dual price.
4.
A constraint with a positive slack value
a.
will have a positive dual price.
b.
will have a negative dual price.
c.
will have a dual price of zero.
d.
has no restrictions for its dual price.
5.
The amount by which an objective function coefficient can change before a different set of values for the
decision variables becomes optimal is the
a.
optimal solution.
b.
dual solution.
c.
range of optimality.
d.
range of feasibility.
6.
The range of feasibility measures
a.
the righthandside values for which the objective function value will not change.
b.
the righthandside values for which the values of the decision variables will not change.
c.
the righthandside values for which the dual prices will not change.
d.
each of the above is true.
7.
The 100% Rule compares
a.
proposed changes to allowed changes.
b.
new values to original values.
c.
objective function changes to righthand side changes.
d.
dual prices to reduced costs.
1
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Chapter 8
LP Sensitivity Analysis and Interpretation of Solution
8.
An objective function reflects the relevant cost of labor hours used in production rather than treating
them as a sunk cost. The correct interpretation of the dual price associated with the labor hours
constraint is
a.
the maximum premium (say for overtime) over the normal price that the company would be
willing to pay.
b.
the upper limit on the total hourly wage the company would pay.
c.
the reduction in hours that could be sustained before the solution would change.
d.
the number of hours by which the righthand side can change before there is a change in the
solution point.
9.
A section of output from The Management Scientist is shown here.
Variable
Lower Limit
Current Value
Upper Limit
1
60
100
120
What will happen to the solution if the objective function coefficient for variable 1 decreases by 20?
a.
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 Spring '10
 ADMS3330
 Operations Research, Linear Programming, Optimization, objective function, Management Scientist

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