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# Operation Management Problems

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10-7
What is the enumeration approach to solving assignment problems? Is it a practical way to solve a 5 row X 5 column problem? A 7X7 problem? Why?
10-13
The hardrock concrete company has plants in three locations and currently working on 3 major construction projects, each located at a different site. The shipping cost per truckload of concrete, daily plant capacities, and daily plant requirements are provided in the table
from/to PROJECT A PROJECT B PROJECT C Plant capacities
PLANT 1 10 4 11 70
PLANT 2 12 5 8 50
PLANT 3 9 7 6 30
PROJECT REQUIREMENTS 40 50 60 150

1. Formulate an initial feasible solution to hardrock's transportation problem using the northwest corner rule. Then evaluate each unused shipping route by computing all improvement indices. Is this solution optimal? Why
2. Is there more than one optimal solution to this problem? Why?

`10-24
Ashley's Auto Top Carriers currently maintains plants in Atlanta and Tulsa that supply major distribution centers in Los Angeles and New York. Because of an expanding demand, Ashley has decided to open a third plant and has narrowed the choice to one of two cities-New Orleans or Houston. The pertinent production and distribution costs, as well as the plant capacities and distribution demands, are shown in the table.
from/to LA NY NORMAL PRODUCTION UNIT PRODUCTION
ATLANTA 8 5 600 6
TULSA 4 7 900 5
NEW ORLEANS 5 6 500 4 ANTICIPATED
HOUSTON 4 6 500 3 ANTICIPATED
FORECAST DEMAND 800 1200 2000

Which of the new possible plants should be opened?

10-19
The state of Missouri had three major power-generating companies (A, B, and C). During the months of peak demand, the Missouri Power Authority authorizes these companies to pool their excess supply and to distribute it to smaller independent power companies that do not have generators large enough to handle the demand. Excess supply is distributed on the basis of cost per kilowatt hour transmitted. The following table shows the demand and supply in millions of kilowatt hours and the cost per kilowatt hour of transmitting electric power to four small companies in cities W, X, Y, and Z:
from/to W X Y Z EXCESS SUPPLY
A 12 4 9 5 55
B 8 1 6 6 45
C 1 12 4 7 30
Unfilled power demand 40 20 50 20 150

https://brainmass.com/statistics/quantative-analysis-of-data/operation-management-problems-170181

#### Solution Summary

This posting provides different problems on operation management including assignment and transportation problems for hardrock concrete company, ashley's auto top carriers and State of Missouri.

\$2.19

## Operations Management and Practical Prioblems

SAMPLE OPERATIONS MANAGEMENT QUESTIONS WITH PRACTICAL PROBLEMS

1. Average job completion time is:

a. total processing time divided by the number of jobs.
b. total flow time divided by the number of jobs
c. total flow time divided by total processing time.
d. total flow time minus total late time.

a. is done prior to detailed scheduling.
b. does not incorporate a priority sequence rule.
c. is the assignment and commitment of specific jobs to each work center for the planning period.
d. all of the above.

3. When using the critical ratio ( CR ) priority sequence rule:

a. a ratio of less than "1.0" implies that a job has a priority over a job with a ratio of more than "1.0".
b. a ratio of more than "1.0" implies that a job has priority over a job with a ratio of less than "1.0".
c. the job with the earliest 'due date' is scheduled first.
d. none of the above.

4. Which of the following is not a performance measure used in scheduling?

a. job flow time.
b. tardiness.
c. labor capacity requirements.
d. utilization.

5. Gantt charts have several major limitations to include:

a. the need to be updated regularly to account for new job arrivals and revised time estimates.
b. the inability to assess the relative work loads at each work center.

c. the inability to serve as a foundation for the detailed scheduling function.
d. the inability to signal the need for reallocation of labor and equipment to busier work centers.

6. Assume a task has the following times: a = 10, m = 25, and b = 40. Its ex-
pected time is:

a. 10
b. 25
c. 40
d. 30
e. none of the above.

7. The critical path of a network is the:

a. shortest time path through the network.
b. path with the fewest activities.
c. path with the most activities.
d. longest time path through the network.
e. none of the above.

8. Given the following activity's optimistic, most likely, and pessimistic time es-
timates of 2, 10, and 20 days respectively, compute the PERT variance for this activity:

a. 3
b. 6
c. 9
d. 18
e. none of the above.

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9. Managers use the network analysis of PERT and CPM to help them:

a. derive flexibility by identifying noncritical activities.
b. replan, reschedule, and reallocate resources such as manpower and finances.
c. plan, schedule, monitor, and control large and complex projects.
d. all of the above.

10. In an activity-on-node (AON) network, the nodes represent______whereas
the arcs represent _________.

a. activities; time
b. activities; precedence relationships
c. events; activities
d. precedence relationships; time

True or False: ( select the one correct response )

11. A job shop is a firm that specializes in medium- to large-volume production
and utilizes line or continuous processes.

TRUE FALSE

12. The gantt chart ( for loading ) shows the order in which each job will be pro-
cessed at each work center.

TRUE FALSE

13. Earliest due date ( EDD ) is a priority sequencing rule that states the job re-
quiring the shortest processing time is the next job to be processed.

TRUE FALSE

14. Dispatching is the assignment and commitment of incoming jobs to one or
more specific work centers, for the day or week.

TRUE FALSE

15. The DDATE priority sequence rule will always minimize average job late-
ness.

TRUE FALSE

16. The gantt chart ( for loading ) provides the basis for the promised date of the
job to the customer.

TRUE FALSE

17. The assignment algorithm is an alternative method for performing the load-
ing function in a job shop.

TRUE FALSE

18. The gantt chart ( for supplementary scheduling ) allows management to
monitor the progress of all jobs in the system in real time.

TRUE FALSE

19. Activities on the critical path exhibit positive slack times.

TRUE FALSE

20. The variance of project completion time equals the variances of all activities
in the project.

TRUE FALSE

21. The expected activity time is the average of an activity's optimistic and pessi
-mistic times.

TRUE FALSE

22. Dummy activities are found in activity-on-arc (AOA) convention PERT/
CPM network models.

TRUE FALSE

23. The dummy activity has an expected time of zero by definition.

TRUE FALSE

24. Early start time ( ES ) is computed from right to left ( backward pass ).

TRUE FALSE

25. The project-group approach extends little or no formal authority to the
project coordinator.

TRUE FALSE

PRACTICAL PROBLEMS

26. In problem one, the static slack for job 'E' is:

a. 3
b. 4
c. 5
d. 6
e. none of the above.

27. In problem one, the static slack for job 'F' is:

a. 16
b. 15
c. 14
d. 13
e. none of the above.

28. In problem one, the lateness for job 'C' is:

a. 0 days
b. 1 day
c. 2 days
d. 5 days
e. none of the above.

29. In problem one, the average job completion time is:

a. ≈ 12 days
b. ≈ 13 days
c. ≈ 14 days
d. ≈ 15 days
e. none of the above.

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30. In problem one, the average job lateness is:

a. 2.666 days
b. 3.666 days
c. 4.666 days
d. 5.666 days
e. none of the above.

31. In problem one, the number of late jobs will be:

a. 2
b. 3
c. 4
d. 5
e. none of the above.

32. In problem two, the critical path is:

a. 13 weeks
b. 16 weeks
c. 19 weeks
d. 22 weeks
e. none of the above.

33. In problem two, the early finish ( EF ) time for activity 'H' is:

a. 7th week
b. 8th week
c. 9th week
d. 10th week
e. none of the above.

34. In problem two, the early start ( ES ) time for activity 'F' is:

a. 5th week
b. 6th week
c. 7th week
d. 8th week
e. none of the above.
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35. In problem two, the late start ( LS ) time for activity 'H' is:

a. 16th week
b. 17th week
c. 18th week
d. 19th week
e. none of the above.

36. In problem two, the late finish ( LF ) time for activity 'F' is:

a. 16th week
b. 17th week
c. 18th week
d. 19th week
e. none of the above.

37. In problem two, the slack time ( S ) for activity 'D' is:

a. 0 weeks
b. 1 week
c. 2 weeks
d. 3 weeks
e. 4 weeks

38. In problem three, car '3' will be assigned to:

a. Bob
b. Fred
c. Mike
d. Tim

39. In problem three, car '1' will be assigned to:

a. Bob
b. Fred
c. Mike
d. Tim

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40. In problem three, the total number of labor hours required will be:

a. 30 hours
b. 35 hours
c. 40 hours
d. 45 hours
e. none of the above.

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