**Part 1.**

**Question 1.**

How many of the statements are true?

(A) 1

(B) 2

(C) 3

(D) none of the above.

Statement 1. The total processing time is minimized in an ‘nx1’ system when the schedule is based on the MPT rule.

Statement 2. The Johnson’s rule is a sequencing rule for an ‘nx2’ system.

Statement 3. The processing time for a job is equal to the flow time plus the queue time.

Statement 4. The start date for a job is equal to the due date minus the processing time.

Statement 5. A zero critical ratio indicates that the due date is the present date.

**Part 2.**

Five jobs arrived to be processed.

**Question 2.**

The FIFO schedule is “ABCDE” and the LIFO schedule is “EDCBA”. Consider the Earliest Due Date schedule (EDD), the Minimum Start Date schedule (MSD), the Minimum Slack Time schedule (MST), and the Minimum Critical Ratio schedule (MCR). What is the first job in each of the schedules EDD, MSD, MST, and MCR?

(A) B,E,C,D

(B) B,E,E,D

(C) C,D,D,A

(D) None of the above

**Question 3.**

What is the flow of the MPT schedule?

(A) 93

(B) 39

(C) 132

(D) None of the above

**Part 3.**

The jobs A,B,C,D,E, arrived in that order to be processed on two machines

Job | A | B | C | D | E |

Time on Machine 1 | 25 | 26 | 31 | 22 | 28 |

Time on Machine 2 | 24 | 33 | 30 | 23 | 29 |

**Question 4.**

The Johnson’s rule schedule is

(A) ‘CEBAD’

(B) ‘DCABE’

(C) ‘DABEC’

(D) ‘DBECA’

**Question 5.**

In the FIFO schedule, what is the total time of completion?

(A) 161

(B) 166

(C) 271

(D) none of the above

**Question 6**.

In the FIFO schedule, what is the flow time of job D?

(A) 45

(B) 127

(C) 137

(D) none of the above

**Question 7.**

In the FIFO schedule, what is the total idle time of machine 2?

(A) 27

(B) 25

(C) 2

(D) none of the above

**Question 8.**

In the FIFO schedule, what is the total queue time of job C?

(A) 51

(B) 53

(C) 55

(D) none of the above

**Part 4. **

You have been asked to determine a schedule that minimizes the processing time of project proposals through the editing department and revision department of your company. The editing department identifies changes and the revision department incorporates the changes and produces a final proposal document for release. Each department has personnel to service only one document at a time. The editing time is dependent on the type of proposal and the revision time is dependent on the size of the proposal. The time estimates below have been provided to you for scheduling.

**Question 9.**

What is the minimum processing time in minutes?

(A) 150

(B) 143

(C) 265

(D) none of the above

Editing Time (minutes) | Revision Time (minutes) | |

Proposal ‘1’ | 19 | 25 |

Proposal ‘2’ | 26 | 24 |

Proposal ‘3’ | 17 | 18 |

Proposal ‘4’ | 14 | 16 |

Proposal ‘5’ | 15 | 12 |

Proposal ‘6’ | 22 | 25 |

Proposal ‘7’ | 18 | 14 |

Project Management, CPM and EVA

**Part 5.**

**Question 10.**

How many of the statements are true?

(A) 1

(B) 2

(C) 3

(D) none of the above.

Statement 1. A critical activity will have a slack of zero.

Statement 2. A project is called behind schedule for a positive schedule variance.

Statement 3. A positive cost variance will always result in a cost performance index greater than one.

Statement 4. The early start and early finish of a CPM is the Gantt chart in table form.

**Part 6. **

Consider the project where the duration is in day

Activity | 1 | 2 | 3 | 4 | 5 | 6 | 7 |

Duration | 3 | 2 | 9 | 7 | 6 | 8 | 3 |

Predecessors | 2,7 | 3 | — | 3 | 1,6 | 4,7 | 3 |

**Question 11.**

What is the time of completion?

(A) 26

(B) 30

(C) 38

(D) none of the above

**Question 12.**

What is the critical path?

(A) 1,2,3,5,7

(B) 3,5,6,7

(C) 3,4,5,6

(D) none of the above

**Part 7. **

Consider the cost baseline for a project reported from the project charter.

An earned value analysis was conducted the end of March with the following results:

- The actual cost at the end of March is $2,300.
- The percent completion of the activities at the end of March is

Activity | 1 | 2 | 3 | 4 |

% Complete | 100 | 60 | 20 | 0 |

**Question 13. **

How is the project described in the project charter?

(A) A 5-month $4500 project

(B) A 5-month $2100 project

(C) A 3-month $2200 project

(D) none of the above

**Question 14. **

What are the values in the EVA?

(A) EV=$2100, AC=$2200, PV=$2300

(B) EV=$2100, AC=$2300, PV=$2200

(C) EV=$2300, AC=$2200, PV=$2100

(D) none of the above

**Part 8. **

An EVA for a 10-month, $760,000 project yielded the following values:

Earned Value =$125000 |

Actual Cost =$78125 |

Planned Value =$200000 |

**Question 15. **

For the EVA, what are the schedule variance and the cost performance index?

(A) +$46875 & 0.625

(B) –$75000 & 1.600

(C) –$75000 & 0.625

(D) none of the above

**Question 16. **

From the EVA, what are the estimates at completion?

(A) A 15-month $200000 project

(B) A 6.25-month $1216000 project

(C) A 16-month $475000 project

(D) none of the above

**Part 9. **

A company would like to use an earned value analysis to review one of their projects. The budgeted amounts for each activity in dollars have been reported.

At the end of May the actual cost is reported to be $7210 and the percent completion of the activities are

Activity | 1 | 2 | 3 | 4 |

% Complete | 100 | 80 | 40 | 0 |

**Question 17. **

From an earned value analysis the end of May, what are the estimated cost at completion in dollars and the estimated time at completion in months?

(A) A 8.2 month $12399 project.

(B) A 9.5 month $13035 project.

(C) A 8.9 month $13015 project.

(D) none of the above

**Statistical Process Control**

**Part 10.**

**Question 18. **

How many of the statements are true?

(A) 1

(B) 2

(C) 3

(D) none of the above.

Statement 1. Control limits for P, C, M, and R charts can never be negative.

Statement 2. The sample size for the experiment will always be the sample size for the chart for the P, C, M, and R charts.

Statement 3. The P and C charts are for attributes and the M and R charts are for variables.

Statement 4. The method of assignable cause is not part of a quality program consisting of planning, assurance, and control.

**Part 11. **

The M and R statistical process control charts are being developed for the life of a new battery in hours. Destructive sampling was performed measuring the life of each battery in hours.

Sample A | Sample B | Sample C | |

Measurement #1 | 117 | 119 | 124 |

Measurement #2 | 125 | 127 | 132 |

**Question 19.**

The center line for the M-chart is

(A) 134

(B) 144

(C) 124

(D) none of the above

**Question 20. **

The center line for the R-chart is

(A) 7

(B) 8

(C) 9

(D) none of the above

**Part 12.**

An M and R statistical process control charts are being developed from an experiment with the experimental design of three samples with a sample size of five that yielded a grand mean of 310 and an average range of 70.

**Question 21. **

The upper control limit for the M-chart is

(A) 350.390

(B) 381.610

(C) 325.610

(D) none of the above

**Question 22**.

The upper control limit for the R-chart is

(A) 180.250

(B) 115.640

(C) 148.050

(D) none of the above

**Part 13. **

The following experiment was carefully designed and performed on a process under control. A random sample of 100 is drawn for each sample and the number of attributes is recorded.

Sample #: | 1 | 2 | 3 | 4 | 5 | 6 |

Attributes: | 1 | 2 | 1 | 1 | 3 | 1 |

**Question 23. **

The center line for the P-chart with n=340 is

(A) 0.025

(B) 0.007

(C) 0.015

(D) none of the above

**Question 24. **

The center line for the C-chart with n=340

(A) 2.50

(B) 5.10

(C) 4.50

(D) none of the above

### Part 14.

From an experiment, assume the proportion of an attribute is 0.032

**Question 25. **

The upper control limit for the P-chart with n=193 is

(A) 0.044

(B) 0.140

(C) 0.070

(D) none of the above

**Question 26. **

The upper control limit for the C-chart with n=200 is

(A) 14.00

(B) 12.00

(C) 18.00

(D) none of the above

**Part 15. **

The machine that cuts metal holders for electronic pencil sharpeners is being monitored with statistical process control charts. Use the experimental data below to determine the center line (CL), upper control limit (UCL), and lower control limit (LCL) for each of the control charts , R, C, and P. Assume the sample size for the experiment and for each control chart is six which is the number of metal holders per sample. Construct a P-chart for defectives per lot, a C-chart for the number of defects per lot, and -chart and R-chart for the average length per lot. Although the data set from the experiment is small, assume an item is defective only if the length is greater than 23mm or less than 15mm. An item contains a defect only if it violates any of the set of quality characteristics. The set of quality characteristics is not given to us but the number of defects for each item has been determined and reported in the table below. Note that a defect in an item does not cause a defective item and a defective item does not cause a defect in the item. Keep the number of defects and defectives separate because the definition of a defect is different than a defective. In determining the control charts, construct each sample with consecutive item numbers beginning with item #1.

**Question 27. **

For the M chart, what is the lower control limit, center line, and upper control limit?

(A) 15.65 , 19.00 , 25.35

(B) 12.30 , 18.50 , 24.70

(C) 14.39 , 18.50 , 22.61

(D) none of the above

**Question 28. **

For the R chart, what is the lower control limit, center line, and upper control limit?

(A) 0.00 , 8.50 , 17.03

(B) 0.00 , 8.50 , 19.40

(C) 0.00 , 9.00 , 21.15

(D) none of the above

**Question 29. **

For the P chart, what is the lower control limit, center line, and upper control limit?

(A) 0.03 , 0.19 , 0.88

(B) –0.29 , 0.19 , 0.67

(C) 0.00 , 0.19 , 0.67

(D) none of the above

**Question 30.**

For the C chart, what is the lower control limit, center line, and upper control limit?

(A) –1.92 , 0.86 , 3.63

(B) 0.00 , 0.86 , 3.63

(C) –0.07 , 0.86 , 1.78

(D) none of the above

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