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 43.1643.16 weeks. (Round your response to two decimal places.) e) The activity variance along the critical path is 9.47 weeks. (Round your response to two decimal places.) f) Using thestandard normal table, the probability that Hopkins Hospitality will finish the project in 40 weeks or less is (enter your response here) [ ? ] (Enter as a probability and round your response to three decimal places)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

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

43.1643.16

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

e) The activity variance along the critical path is