Answered: A car rental agency in a major city has…

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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A car rental agency in a major city has a total of 2200 cars that it rents from three locations: Metropolis Airport, downtown, and at the smaller City Airport. Some weekly rental and return patterns are shown in the table

		Rented From
Returned to	Metropolis Airport	Downtown	City Airport
Metropolis Airport	90%	10%	10%
Downtown	5%	80%	5%

At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week?

Start by writing a system of equations using three variables that represent the number of rental cars at each airport. Then convert this to an augmented matrix and put it in RREF using your calculator. Finally, interpret the results.

Case Study 3
This case study is all about solving a system of equations using the RREF of a matrix. (Section 2.2)
A car rental agency in a major city has a total of 2200 cars that it rents from three locations: Metropolis Airport, downtown and at the smaller City Airport. Some weekly rental and return patterns are shown in the table
Rented From
Returned to
Metropolis Airport
Downtown
City Airport
Metropolis Airport
90%
10%
10%
Downtown
5%
80%
5%
At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week?
Start by writing a system of equations using three variables that represent the amount of rental cars at each airport. Then convert this to an augmented matrix and put it in RREF using your calculator. Finally interpret the
results. Note that you can use the equation editor in Word to add matrices to your report. Message me if you have questions about that.
Include an introduction (restate the problem in your own words) and conclusion (interpretation of the results) in your report. It again may be helpful to write your report in the form of a business letter. Save your report as a
PDF and upload it here by the deadline.
E 100 points possible.
O Due Mon 4/26/21, 12:00 pm.
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