Usemame: Bridgette Newby Book Operations Management, 4th Edition. No part of any chapter or book may be reproduced or

transmifted in any form by any means without the prior written permission for reprints and excerpts from the publisher of the

book or chapter. Redistribution or other use that violates the fair use privilege under U.S. copyright laws (see 17 USC107) or

that othenrvise violates these Terms of Service is strictly prohibited. Violators will be prosecuted to the full extent of U.S. Federal

and Massachusetts laws.

618 . CHAPTER 16 PROJECT MANAGEMENT

Problems

Use the following project information for Problems I and 2.

Activity Time

Activity (weeks)

Immediate

Predecessor{s}

ABCDE FG

34 2 54 3 2

none

ABBCD

E,F

1. Construct a nehvork diagram usingAON notation.

2. Using the network diagram constructed in Problem 1,

(a) Calculate the completion time for the project.

(b) Determine which activities are included on the critical

path.

3. Jack’s Floating Banana Party Company is planning to add a

new partF vessel for the upcoming season. Jack has identified several activities that must be finished before the start of the season.

Using the following information,

&*ttv*-tv T{n”r* trixwied{*t*

,&etivity {w**{qs} F}”edee*sssr(s}

none

none

AB

C,D

D

(a) Draw the network diagram for this prorect.

(b) Identi& the critical path.

(c) Calculate the expected project length.

Use the following projea information for Problems 4 through 8.

Most

Optimistic likety Pessimistic

trme lrme lrme

Est?rnate [rt$matcs fisttrx*tes {r*mndi*t*

Aetivity iw*eks) {rv*efqr} {weekr} Fred*ress*r{*}

A369none

BCDE FGHII

3 4 4 5 3 3 5 5 a

5 7 8

10

466 8 3

t2

t0

16

5 8

l0

ll

3

AABC

DE

DE

FG

H,I

4. Using the information given, construct a network diagram

using AON notation.

5. Using the information given, calculate the expected

for each of the project activities.

6. Using the information given, calculate the variance for each

of the project activities.

7. Using yow results from Problems 4 and 5,

(a) Calculate the completion time for this project.

(b) Identify the activities included on the critical path of this

project.

8. Using your results from Problem 6,

(a) Calculate the probability that the project will be completed in 38 weeks.

(b) Calculate the probability that the project will be completed in 42 weeks.

Use the informatian prwided in Table 16-14 and the network diagram in Figure 16-20 for the next four problems.

time

ABCDE F

6 5 3 3 6 9

A B C Dtr6 H

4 1 5

7^

5 6 4 3

800

900

7,?50

8.00

1.500

2,000

600

900

1,e00

1;000

2,?50

, 800

2r@

3,000

900

EO0

400

10!

,,500

,,’p

: 5oo

1,00g

,’ 300

0

3 2 3 2 4 5 3 3

1 1 2 0 L 1 1 0

I

Username: Bridgette Newby Book Operations Management, 4th Edition. No part of any chapter or book may be reproduced or

transmitted in any form by any means without the prior written permission for reprints and excerpts ftom the publisher of the

book or chapter. Redistribution or other use that violates the fair use privilege under U.S. copyright laws (see 17 USC107) or

that othenadse violates these Terms of Service is strictly prohibited. Molators will be prosecuted to the full extent of U.S. Federal

and Massachusetts laws.

AON network diagram

r B(3)j————— 1 E{s)j

f”” /

//

//

s,A(a)r——>r C(S).i ( |
1G(4L——–‘x H(3), |

i”‘ | ”” |

\/

/

rl-e-];-”ljl)

9. Using the information given,

(a) Calculate the completion time of the prorect.

(b) Identify the activities on the critical path.

10. Using the information given and the prorect completion

time calculated in Problem 9(a), reduce the completion time of

the project by 3 weeks in the most economical way.

11. Using the information given and the project completion

time calculated in Problem 9(a), reduce the completion time of

the project by 5 weeks in the most economical way.

12. Using the information given and the prorect completion

time calculated in Problem 9(a), calculate the minimum time for

completing the project possible.

Use Figure 16-21 and the following project data for the next

two questions.

13. Using the information given,

(a) Calculate *re expected time for each of the project activities.

(b) Calculate the variance for each of the project activities.

(c) Evaluate the connected paths through the diagram to detefmine the expected project completion time.

PR0BLEMS * 619

(b) Calculate the probability of completing the project in 40

weeks.

15. The accounting department at Northeast University is offering a combined five-year B.S./M.S. in accounting. The senior

accounting professor has identified the project activities and any

precedence relationships, as shown in Table 16-15. Three time estimates for eac.h activity are included.

(a) Develop a network diagram for this project using AON

notation.

(b) Calculate the enpected time for each of the project activities.

(c) Identify the critical path for the project.

(d) Calculate the expected prorect completion time.

16. The dean of the business school wants to start offering this

program starting 32 weeks &om now. Using the information provided in Problem 15,

(a) Calculate the probability of the program starting on time.

(b) Ifthe dean needs a 95 percent probability ofbeing done

on time, how long can the expected project duration be?

Use the following information for koblems 17 through 19.

Normal | [rash | ||

kcnred”iate Yisx* &ermal Timte e rasli Artivity Predeeessor{s} {wee$*s} ec}st {vreeks} flmst |
|||

l0 | none no’ne A,B |
$16,000 6,000 12,000 |
$20,000 9,000 24,000 |

7,000 | 10,000 | ||

28,000 | 34,000 | ||

4,500 7,2O0 5,000 |
4,500 9,000 5,000 |
||

15,000 | 18,000 | ||

7,000 | 7,000 | ||

10,000 24,000 |
11,000 24,N0 |

ABCDE FGHIIKL

46 7

L4

34) 5a 5

t0

8 3 3 52 3 3 24 240

AB

C,DE

F F F

H’I

1K

Spt$m*stir

Tiw*

&ctiv{ty {we*kx}

M*x* [ike{y

Timx | Sessimistir |

{w*eks} T$m* {w*nks} | |

t2 l6 |
r0 t0 |

ABCDE FGH

84 4646 4 3

6

10

t2

9

t2

3

5 8 7 7 8 3

t B i——–i

I*.””‘

Network diagram

‘t, A ,*

—

14. Using the information given and expected project completion time from Problem 13(c),

(a) Calculate the probability of completing the project in 36

I weeks.

It

, .3.“-‘ – -.”————–* .., I “‘

Usemame: Bridgette Newby Book Operations Management, 4th Edition. No part of any chapter or book may be reproduced or

transmitted in any form by any means without the prior written permission for reprints and excerpts from the publisher of the

book or chapter. Redistribution or other use that violates the fair use privilege under U.S. copyright laws (see 17 USC107) or

that otherwise violates these Terms of Service is strictly prohibited, Violators will be prosecuted to the full extent of U.S. Federal

and Massachusefts laws.

620 . CHAPTER 16 PROJECT MANAGEMENT

A B c D E F G HI J K L

Design general curricutum reguirements

Develop program brochure

Identify prospective students,

Develop advertising cam paign

Design specific curricutum content

Send brochure and student apptication

Evatuate apptications

Accept students, notify students

Schedute, rooms for ctasses

Designate professors to teach courses

0rder and receive texts

none

A

n0ne

B,C

A D F 6 H H J K

4 2 3 4I2 2 1 1 1 3 6

I3 6 7

16

3 4 2 1 2 5 8

76

6I

10

2fi

4 6 3 7 3 7

77

17. Draw the network diagram. Determine the normal time it

will take to complete this project. Determine the critical path for

the project. Calculate the cost of completing the project in normal time.

18. Determine the absolute minimum time it will take to

complete the project if the project is crashed as far as possible. Calculate the cost associated with this approach to the

project.

19. If the company wants to complete the project in 40 weeks,

which activities should be crashed? Calculate the additional cost

incurred to complete the project in 40 weeks.

;:tai.,, : ,,:’.t.,, ::’:’ : .’. .: ”,’, . . . -,:

Jeannette, the senior administrative assistant, has just learned

that she is in charge of the upcoming move of the research office

at Southwest University^ She has coordinated several such moves

before and immediately begins organizing her thoughk. Determining what needs to be done, when it needs to be done, and

who needs to do it are critical to a successful move. From past

moves, |eannette knows the first step is having the management

team allocate the offices available to the different departments.

She knows that each department manager fights for the best office space. Because ofthe politics, ]eannette expects this activity

to take three weels.

After the management team finalizes departmental allocations, each department maflager allocates office space to individuals within the department. This is also quite political and

typically takes two weeks. Individuals often take the office space

allocations personally, and each manager needs time to smooth

any ruffled feathers. The allocation decisions are returned to

]eannette so that she can develop an overall layout for the move.

She normally does this in about four weeks. During the first

week of this phase, |eannette sends each individual a printout of

the floor space they will have and requests that they determine

how the furniture is to be arranged. Individuals inform her of

any additional or replacement office furniture needs. They indicate where phone jacks and computer hookups should be. Each

individual request$ the packing supplies needed to pack up their

office items. These requests are returned in three weeks,

When Jeannette receives the iadividual requests, she consolidates the requests to form lists ofpacking supplies and firrniture.

She orders the supplies from the university-approved supplier,

and the supplies arrive in two weeks. She chooses among three

approved office furniture suppliers and selects and orders the

office furniture, which is scheduled to arrive in six weeks. When