Answered: a) Based on the activity time…

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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Part 1

The estimated times and immediate predecessors for the activities in a project at Howard Umrah's retinal scanning company are given in the following table. Assume that the activity times are independent.

	Time (weeks)			Immediate		Time (weeks)			Immediate
Activity	a	m	b	Predecessor(s)	Activity	a	m	b	Predecessor(s)
A	8	10	13	—	C	8	10	11	A
B	5	10	16	—	D	4	8	14	B

This exercise contains only parts a, b, c, d, and e.

Part 2

a) Based on the activity time estimates, the expected times and variance for each of the activities are (round your response to two decimal places):

Part 3

Part 4

Part 5

Part 6

b) The expected completion time of the critical path =

enter your response here

weeks (round your response to two decimal places).

Part 7

The expected completion time of the path other than the critical path =

enter your response here

weeks (round your response to two decimal places).

Part 8

c) The variance of the critical path =

enter your response here

weeks (round your response to two decimal places).

Part 9

The variance of the path other than the critical path =

enter your response here

weeks (round your response to two decimal places).

Part 10

d) If the time to complete the activities on the critical path is normally distributed, then the probability that the critical path will be finished in

21 weeks or less =

enter your response here

(enter as a probability and round your response to two decimal places).

Part 11

e) If the time to complete the activities on the non critical path is normally distributed, then the probability that the non critical path will be finished in

21 weeks or less =

enter your response here

(enter as a probability and round your response to two decimal places).

The estimated times and immediate predecessors for the activities in a project at Howard Umrah's retinal scanning company are given in the following table. Assume that the activity times are independent.
Time (weeks)
Immediate
Predecessor(s) Activity
с
Immediate
Predecessor(s)
A
D
B
Activity
A
B
a
8
5
m
10
10
b
13
16
Activity
A
B
C
D
a
This exercise contains only parts a, b, c, d, and e.
a) Based on the activity time estimates, the expected times and variance for each of the activities are (round your response to two decimal places):
Expected
Time
8
4
Time (weeks)
m
Variance
O
10
8
b
11
14
b) The expected completion time of the critical path = weeks (round your response to two decimal places).
The expected completion time of the path other than the critical path = weeks (round your response to two decimal places).
c) The variance of the critical path = weeks (round your response to two decimal places).
The variance of the path other than the critical path = weeks (round your response to two decimal places).
d) If the time to complete the activities on the critical path is normally distributed, then the probability that the critical path will be finished in 21 weeks or less =
e) If the time to complete the activities on the non critical path is normally distributed, then the probability that the non critical path will be finished in 21 weeks or less =
(enter as a probability and round your response to two decimal places).
(enter as a probability and round your response to two decimal places).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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