Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Given the following information, answer the following:

Task

Description

Immediate predecessors

Optimistic time

Most likely time

Pessimistic time

Expected Time

A

Identify equipment requirements

None

4

6

8

6

B

Solicit bids from vendors

None

6

8

16

9

C

Select a system/vendor

A,B

2

4

6

4

D

Place order for system

C

8

10

24

12

E

redesign warehouse layout

C

7

10

13

10

F

Implement new warehouse design

E

4

6

8

6

G

Design system interfaced

c

4

6

20

8

H

Integrate the interface into the system

D, F, G

4

6

8

6

I

Install the system

D, F

4

6

14

7

J

train system operators

H

3

4

5

4

k

test system

I, J

2

4

6

4

 

Task

Normal cost

Crashed  time

Additional cost to crash 1 week

A

1000

4

450

B

1000

7

400

C

1500

2

600

D

2000

8

300

E

5000

7

1000

F

3000

4

550

G

8000

5

750

H

5000

4

700

I

10000

4

800

J

4000

3

400

K

5000

3

500

B-C-E-F-H-J-K =  9+4+10+6+6+4+4 = 43 weeks to complete on normal time= critical path

  1. What is the total cost required for completing this project on normal time? 
    What is the probability of completing the project in 40 weeks? Round calculations to at least 4 decimal places.
    3. If Kerry Goins wishes to finish the project 2 weeks sooner, which activity(ies) should be crashed?
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