a) The expected​ (estimated) time for activity C is 13.33 weeks. ​(Round your response to two decimal​ places.)   ​b) The variance for activity C is 1.78 weeks. ​(Round your response to two decimal​ places.)   ​c) Based on the calculation of the estimated​ times, the critical path is A - C - F - H - J - K   . ​d) The estimated time for the critical path is [ ? ] enter your response here weeks. ​(Round your response to two decimal​ places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 10P
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Ross​ Hopkins, president of Hopkins​ Hospitality, has developed the​ tasks, durations, and predecessor relationships in the following table for building new motels. 
Activity    a    m    b    Immediate Predecessor(s)    Activity    a    m    b    Immediate Predecessor(s)
A    6    8    12    -    G    2    3    4    C, E
B    1    9    24    A    H    2    2    2    F
C    8    14    16    A    I    7    7    7    F
D    4    7    10    A    J    6    7    12    D, G, H
E    1    2    4    B    K    1    1    4    I, J
F    6    9    20    C, E                    
a) The expected​ (estimated) time for activity C is 13.33
weeks. ​(Round your response to two decimal​ places.)
 
​b) The variance for activity C is 1.78
weeks. ​(Round your response to two decimal​ places.)
 
​c) Based on the calculation of the estimated​ times, the critical path is
A - C - F - H - J - K
 
.
​d) The estimated time for the critical path is [ ? ]
enter your response here
weeks. ​(Round your response to two decimal​ places.)
Expert Solution
Step 1 Introduction:-

A network diagram shows the sequence of the task that is done to complete a project. It usually shows the link of each task with the duration taken by each activity with respect to the completion of the project. Each task is shown with the nodes that are connected with each other with the help of arrows. There are 2 types of network diagrams:- CPM and PERT.

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e) The activity variance along the critical path is [ ? ]

weeks. ​(Round your response to two decimal​ places.)

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