Question
RossHopkins, president of HopkinsHospitality, has developed thetasks, durations, and predecessor relationships in the following table for building new motels. Time (weeks) Immediate Time (weeks) Immediate
RossHopkins, president of HopkinsHospitality, has developed thetasks, durations, and predecessor relationships in the following table for building new motels.
Time (weeks) | Immediate | Time (weeks) | Immediate | ||||||||||||
Activity | a | m | b | Predecessor(s) | Activity | a | m | b | Predecessor(s) | ||||||
A | 66 | 99 | 1010 | long dash | G | 33 | 33 | 55 | C, E | ||||||
B | 22 | 88 | 2323 | A | H | 11 | 11 | 11 | F | ||||||
C | 99 | 1212 | 1616 | A | I | 55 | 55 | 55 | F | ||||||
D | 44 | 77 | 99 | A | J | 44 | 77 | 1414 | D, G, H | ||||||
E | 11 | 22 | 44 | B | K | 11 | 11 | 44 | I, J | ||||||
F | 66 | 88 | 2121 | C, E |
Part 2
a) The expected(estimated) time for activity C is
12.6712.67
weeks. (Round your response to two decimalplaces.)
Part 3
b) The variance for activity C is
1.361.36
weeks. (Round your response to two decimalplaces.)
Part 4
c) Based on the calculation of the estimatedtimes, the critical path is
A - C - F - H - J - K
.
c) The length of the path A - B - E - F - H - J - K is ______ weeks. (Round your response to two decimalplaces.)
Part 8
The length of the path A BEFIK is ______ weeks. (Round your response to two decimalplaces.)
Part 9
The length of the path ABEGJK is ________ weeks. (Round your response to two decimalplaces.)
Part 10
The length of the path ACFHJK is _______ weeks. (Round your response to two decimalplaces.)
Part 11
The length of the path ACFIK is ________ weeks. (Round your response to two decimalplaces.)
Part 12
The length of the path ACGJK is _______ weeks. (Round your response to two decimalplaces.)
Part 13
The length of the path ADJK is _________ weeks. (Round your response to two decimalplaces.)
Part 14
Based on the calculation of the estimatedtimes, the critical path is _______________________.
Part 15
d) The estimated time for the critical path is _________ weeks. (Round your response to two decimalplaces.)
Part 16
e) What is the activity variance along the criticalpath?
Part 17
The activity variance sigma Subscript p Superscript 22p along the critical path is ________ weeks.
(Round your response to two decimalplaces.)
Part 18
f) What is the probability of completion of the project before week _______?
The standard normal equation can be applied asfollows:
Z= StartFraction left parenthesis Due date minus Expected date of completion right parenthesis Over sigma Subscript p EndFraction(DuedateExpecteddateofcompletion)p, where Z is the number of standard deviations the due date or target date lies from the mean or expected date and
sigma Subscript pp is the project standard deviation.
Part 19
Compute Z.
Z= StartFraction 42 minus 43.34 Over StartRoot 24.00 EndRoot EndFraction4243.3424.00
= _________. (Round your response to two decimalplaces.)
Part 20
Using the standard normal table, the probability that Hopkins Hospitality will finish the project in
________ weeks or less is _________. (Enter as a probability and round your response to three decimalplaces.)
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