Answered: Coleman Rich Control Devices, Inc.,…

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

Coleman Rich Control Devices, Inc., produces custom-built relay devices for auto makers. The most recent project undertaken by Rich requires 14 different activities. Rich's managers would like to determine the total project completion time (in days) and those activities that lie along the critical path. The appropriate data are shown in the following table:

	Time (days)			Immediate		Time (days)			Immediate
Activity	a	m	b	Predecessor(s)	Activity	a	m	b	Predecessor(s)
A	4	7	8	—	H	3	3	6	E, F
B	1	2	3	—	I	3	7	9	G, H
C	7	7	7	A	J	2	6	9	I
D	6	9	13	A	K	8	9	11	I
E	1	10	17	B, C	L	3	5	7	J
F	1	4	6	D	M	2	2	5	K
G	2	5	9	D	N	7	8	10	L, M

Part 2

a) The expected completion time of the project =

enter your response here

days (round your response to two decimal places).

Part 3

The activities that represent the project's critical path are

▼

Part 4

b) 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

53 days or less =

enter your response here

(round your response to two decimal places).

Part 5

c) Using the standard normal table

, the number of days that would result in 99% probability of completion =

enter your response here

days (round your response to two decimal places).

Coleman Rich Control Devices, Inc., produces custom-built relay devices for auto makers. The most recent project undertaken by Rich requires 14 different activities. Rich's managers would like to
determine the total project completion time (in days) and those activities that lie along the critical path. The appropriate data are shown in the following table:
Activity
A
B
D
F
G
a
4
1
7
6
1
1
2
Time (days)
m
7
2
7
9
10
4
5
b
8
3
7
13
17
6
9
Immediate
Predecessor(s)
A
A
B, C
D
D
Activity
H
M
N
a
=
3
3
2
8
3
2
7
Time (days)
m
3
7
6
9
5
2
8
b
6
9
9
11
7
5
10
Immediate
Predecessor(s)
E, F
G, H
K
L, M
a) The expected completion time of the project = days (round your response to two decimal places).
The activities that represent the project's critical path are
b) 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 53 days or less =
places).
c) Using the standard normal table, the number of days that would result in 99% probability of completion
(round your response to two decimal
days (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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