Question

In: Operations Management

Assume a project information is given in the table below: Activity Immediate Processor Duration (Days) A...

Assume a project information is given in the table below:

Activity Immediate Processor Duration (Days)
A --- 5
B --- 5
C --- 5
D A, B 4
E B 3
F C 8
G D, E 6
  1. What is the minimum number of activities that have to be delayed for the project to get delayed?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. None of the above (What is your answer?)
  1. What is the minimum number of non-critical activities that have to be delayed for the project to get delayed?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. None of the above (What is your answer?)
  1. What is the maximum number of activities that can be delayed for the project not to get delayed?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. None of the above (What is your answer?)
  1. What is the maximum number of activities that can be delayed for the project not to have additional critical activities?

  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. None of the above (What is your answer?)

Solutions

Expert Solution

1. A. 1; ANY CRITICAL ACTIVITY CAN BE DELAYED TO DELAY THE PROJECT

2. A. 1, E IS A NON CRITICAL ACTIVITY WITH A SLACK OF 1, DELAYING IT ONCE WILL MAKE IT CRITICAL.

3. B. 2, C AND F CAN BE DELAYED ONCE WITH NO CHANGE TO THE CRITICAL PATH.

4. B. 2. C AND F

ACTIVITY

DURATION

ES

EF

LS

LF

SLACK

CRITICAL

A

5

0

5

0

5

5 - 5 = 0

YES

B

5

0

5

0

5

5 - 5 = 0

YES

C

5

0

5

2

7

7 - 5 = 2

D

4

5

9

5

9

9 - 9 = 0

YES

E

3

5

8

6

9

9 - 8 = 1

F

8

5

13

7

15

15 - 13 = 2

G

6

9

15

9

15

15 - 15 = 0

YES

ES = MAX(EF OF ALL PREDECESSORS); 0 FOR FIRST ACTIVITY

EF = ES + DURATION

LF = MIN(LS OF ALL SUCCESSOR ACTIVITIES); MAX EF AS LF FOR LAST ACTIVITY

LS = LF - DURATION

SLACK = LF- EF

CRITICAL PATH = LONGEST PATH WITH 0 SLACK:

CRITICAL PATH = A---D--G & B--D--G(2 CRITICAL PATHS)

DURATION OF PROJECT = 15



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