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

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Matrices And Determinants

Section7.3: The Inverse Of A Square Matrix

Problem 65E: Floral Design: A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each,...

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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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