200 B
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Set up a system of 4 equations and 5 unknowns that represent the movement of the visitors throughout the amusement park where each equation represents peoples movement at one of the attractions
SEE IMAGE AND SOLVE A, B AND C
![A, B, C, and D in the diagram below), two entrances (at attractions A
and B), and one exit (at attraction D). For example, at attraction A:
i. z, people enter the amusement park at attraction A.
ii. 21 people go from attraction B to attraction A.
iii. 75 people go from attraction A to attraction C.
iv. 50 people go from attraction A to attraction D.
(a) Set up a system of 4 equations and 5 unknowns that represents the movement of the visitors throughout the amusement
park where each equation represents people's movement at one of the attractions.
[Note: To help set up the system of equations, the equation representing people's movement at attraction A is provided.]
Attraction: People In:
Resulting Equation
People Out:
75+50
z1+z₁
21 +2₁-125
A:
B:
C:
D:
50
B
(b) Once setup, express the system's augmented matrix in reduced row echelon form. Be sure to show
your steps.
(c) Using the result in (b), and noting that all z, 20 for i-(1,2,3,4,5), what range of values can the free variable rs take
on?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F643c9073-bfc9-41d3-b50c-3b14187fea75%2Fc0809f6a-3351-4e7e-8ee9-dc833f3b0040%2Fzbwgr7g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A, B, C, and D in the diagram below), two entrances (at attractions A
and B), and one exit (at attraction D). For example, at attraction A:
i. z, people enter the amusement park at attraction A.
ii. 21 people go from attraction B to attraction A.
iii. 75 people go from attraction A to attraction C.
iv. 50 people go from attraction A to attraction D.
(a) Set up a system of 4 equations and 5 unknowns that represents the movement of the visitors throughout the amusement
park where each equation represents people's movement at one of the attractions.
[Note: To help set up the system of equations, the equation representing people's movement at attraction A is provided.]
Attraction: People In:
Resulting Equation
People Out:
75+50
z1+z₁
21 +2₁-125
A:
B:
C:
D:
50
B
(b) Once setup, express the system's augmented matrix in reduced row echelon form. Be sure to show
your steps.
(c) Using the result in (b), and noting that all z, 20 for i-(1,2,3,4,5), what range of values can the free variable rs take
on?
Transcribed Image Text:4:
sous) using Gauss-Jordan
50
200
75
B
x2
of the visitors throughout the amusement
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