ch5
1. An optimal solution is only optimal with respect to a particular mathematical model that provides only a
representation of the actual problem.
True False
2. The purpose of a linear programming study is to help guide management's final decision by providing
insights.
True False
3. It is usually quite easy to find the needed data for a linear programming study.
True False
4. If the optimal solution will remain the same over a wide range of values for a particular coefficient in the
objective function, then management will want to take special care to narrow this estimate down.
True False
5. Shadow price analysis is widely used to help management find the best trade-off between costs and
benefits for a problem.
True False
6. When certain parameters of a model represent managerial policy decisions, what-if analysis provides
information about what the impact would be of altering these policy decisions.
True False
7. The term "allowable range for an objective function coefficient" refers to a constraint's right-hand side
quantity.
True False
8. The allowable range for an objective function coefficient assumes that the original estimates for all the
other coefficients are completely accurate so that this is the only one whose true value may differ from its
original estimate.
True False
9. A shadow price indicates how much the optimal value of the objective function will increase per unit
increase in the right-hand side of a constraint.
True False
10. When maximizing profit in a linear programming problem, the allowable increase and allowable
decrease columns in the sensitivity report make it possible to find the range over which the profitability
does not change.
True False
11. Changing the objective function coefficients may or may not change the optimal solution, but it will
always change the value of the objective function.
True False
12. Every change in the value of an objective function coefficient will lead to a changed optimal solution.
True False
13. When a change in the value of an objective function coefficient remains within the allowable range, the
optimal solution will also remain the same.
True False
14. According to the 100% rule for simultaneous changes in objective function coefficients, if the sum of the
percentage changes exceeds 100%, the optimal solution definitely will change.
True False
, 15. Whenever proportional changes are made to all the unit profits in a problem, the optimal solution will
remain the same.
True False
16. The term "allowable range for the right-hand-side" refers to coefficients of the objective function.
True False
17. If the change to a right-hand side is within the allowable range, the value of the shadow price remains
valid.
True False
18. If the change to a right-hand side is within the allowable range, the solution will remain the same.
True False
19. A shadow price tells how much a decision variable can be increased or decreased without changing the
value of the solution.
True False
20. The allowable range gives ranges of values for the objective function coefficients within which the values
of the decision variables are optimal.
True False
21. When a change occurs in the right-hand side values of one of the constraints, a proportional change will
occur in one of the coefficients of the objective function.
True False
22. Managerial decisions regarding right-hand sides are often interrelated and so frequently are considered
simultaneously.
True False
23. If the sum of the percentage changes of the right-hand sides does not exceed 100%, then the solution will
definitely remain optimal.
True False
24. Solver Table re-solves the problem for a whole range of values of a data cell.
True False
25. Solver Table can only be used to investigate changes in a single data cell at a time.
True False
26. Solver Table can be used to easily investigate the changes in any number of data cells.
True False
27. A shadow price reflects which of the following in a maximization problem?
A. The marginal cost of adding additional resources.
B. The marginal gain in the objective value realized by adding one unit of a resource.
C. The marginal loss in the objective value realized by adding one unit of a resource.
D. The marginal gain in the objective value realized by subtracting one unit of a resource.
E. None of these.
28. In linear programming, what-if analysis is associated with determining the effect of
changing:
A. I and II
B. II and III
C. I, II, and III
D. I and III
E. None of these.
1. An optimal solution is only optimal with respect to a particular mathematical model that provides only a
representation of the actual problem.
True False
2. The purpose of a linear programming study is to help guide management's final decision by providing
insights.
True False
3. It is usually quite easy to find the needed data for a linear programming study.
True False
4. If the optimal solution will remain the same over a wide range of values for a particular coefficient in the
objective function, then management will want to take special care to narrow this estimate down.
True False
5. Shadow price analysis is widely used to help management find the best trade-off between costs and
benefits for a problem.
True False
6. When certain parameters of a model represent managerial policy decisions, what-if analysis provides
information about what the impact would be of altering these policy decisions.
True False
7. The term "allowable range for an objective function coefficient" refers to a constraint's right-hand side
quantity.
True False
8. The allowable range for an objective function coefficient assumes that the original estimates for all the
other coefficients are completely accurate so that this is the only one whose true value may differ from its
original estimate.
True False
9. A shadow price indicates how much the optimal value of the objective function will increase per unit
increase in the right-hand side of a constraint.
True False
10. When maximizing profit in a linear programming problem, the allowable increase and allowable
decrease columns in the sensitivity report make it possible to find the range over which the profitability
does not change.
True False
11. Changing the objective function coefficients may or may not change the optimal solution, but it will
always change the value of the objective function.
True False
12. Every change in the value of an objective function coefficient will lead to a changed optimal solution.
True False
13. When a change in the value of an objective function coefficient remains within the allowable range, the
optimal solution will also remain the same.
True False
14. According to the 100% rule for simultaneous changes in objective function coefficients, if the sum of the
percentage changes exceeds 100%, the optimal solution definitely will change.
True False
, 15. Whenever proportional changes are made to all the unit profits in a problem, the optimal solution will
remain the same.
True False
16. The term "allowable range for the right-hand-side" refers to coefficients of the objective function.
True False
17. If the change to a right-hand side is within the allowable range, the value of the shadow price remains
valid.
True False
18. If the change to a right-hand side is within the allowable range, the solution will remain the same.
True False
19. A shadow price tells how much a decision variable can be increased or decreased without changing the
value of the solution.
True False
20. The allowable range gives ranges of values for the objective function coefficients within which the values
of the decision variables are optimal.
True False
21. When a change occurs in the right-hand side values of one of the constraints, a proportional change will
occur in one of the coefficients of the objective function.
True False
22. Managerial decisions regarding right-hand sides are often interrelated and so frequently are considered
simultaneously.
True False
23. If the sum of the percentage changes of the right-hand sides does not exceed 100%, then the solution will
definitely remain optimal.
True False
24. Solver Table re-solves the problem for a whole range of values of a data cell.
True False
25. Solver Table can only be used to investigate changes in a single data cell at a time.
True False
26. Solver Table can be used to easily investigate the changes in any number of data cells.
True False
27. A shadow price reflects which of the following in a maximization problem?
A. The marginal cost of adding additional resources.
B. The marginal gain in the objective value realized by adding one unit of a resource.
C. The marginal loss in the objective value realized by adding one unit of a resource.
D. The marginal gain in the objective value realized by subtracting one unit of a resource.
E. None of these.
28. In linear programming, what-if analysis is associated with determining the effect of
changing:
A. I and II
B. II and III
C. I, II, and III
D. I and III
E. None of these.
