The State Government have built a new express transport system to connect the CBD to the town of Mount Barker. A survey of those who currently use the old bus system suggests the following transition table: This New Service journey Old service The transition matrix for passengers commuting to the CBD is: Next journey New Service 90% 30% (b) Find the steady state matrix. T= [0.⁹0 0.10]. L0.30 0.70l Old Service 10% 70% Prior to its introduction, the new express service had no share of the daily CBD commuters and hence its share matrix was S = [0 1]. (a) Calculate ST and interpret the result. (c) The government aim to achieve a target of 70% commuters using the new Express service for it to be a long-term viability. Given the results of the survey, do you think their aim is achievable? Explain. [1]
The State Government have built a new express transport system to connect the CBD to the town of Mount Barker. A survey of those who currently use the old bus system suggests the following transition table: This New Service journey Old service The transition matrix for passengers commuting to the CBD is: Next journey New Service 90% 30% (b) Find the steady state matrix. T= [0.⁹0 0.10]. L0.30 0.70l Old Service 10% 70% Prior to its introduction, the new express service had no share of the daily CBD commuters and hence its share matrix was S = [0 1]. (a) Calculate ST and interpret the result. (c) The government aim to achieve a target of 70% commuters using the new Express service for it to be a long-term viability. Given the results of the survey, do you think their aim is achievable? Explain. [1]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Answer all parts of question 3
![The State Government have built a new express transport system to connect the CBD to the
town of Mount Barker. A survey of those who currently use the old bus system suggests the
following transition table:
This New Service
journey Old service
The transition matrix for passengers commuting to the CBD is:
[0.90 0.101
1030
Next journey
New
Service
90%
30%
T=
(b) Find the steady state matrix.
Prior to its introduction, the new express service had no share of the daily CBD commuters and hence its
share matrix was S = [0 1].
(a) Calculate ST and interpret the result.
Old
Service
10%
70%
[1]
(c) The government aim to achieve a target of 70% commuters using the new Express service for it
to be a long-term viability. Given the results of the survey, do you think their aim is achievable?
Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07afc3d5-1c08-4021-bc0e-c926bd50f7fc%2Fddebe74a-88e5-4006-b196-8e8e7fcdd535%2Fbbkmsxc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The State Government have built a new express transport system to connect the CBD to the
town of Mount Barker. A survey of those who currently use the old bus system suggests the
following transition table:
This New Service
journey Old service
The transition matrix for passengers commuting to the CBD is:
[0.90 0.101
1030
Next journey
New
Service
90%
30%
T=
(b) Find the steady state matrix.
Prior to its introduction, the new express service had no share of the daily CBD commuters and hence its
share matrix was S = [0 1].
(a) Calculate ST and interpret the result.
Old
Service
10%
70%
[1]
(c) The government aim to achieve a target of 70% commuters using the new Express service for it
to be a long-term viability. Given the results of the survey, do you think their aim is achievable?
Explain.
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