A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 60 cars with a total of $1,900,000 and to earn a daily rental of $1500 from all the cars. The compact cars cost $15,000 and earn $20 per day in rental, the midsize cars cost $35,000 and earn $30 per day, and the luxury cars cost $75,000 and earn $30 per day. To find the number of each type of car the agency should purchase, solve the system of equations below, where x, y, and z are the numbers of compact cars, midsize cars, and luxury cars, respectively. y + 60 (1) (2) 1500 (3) X + 15,000x35,000y 20x + Z = + 75,000z = 1,900,000 30z = 30y +
A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 60 cars with a total of $1,900,000 and to earn a daily rental of $1500 from all the cars. The compact cars cost $15,000 and earn $20 per day in rental, the midsize cars cost $35,000 and earn $30 per day, and the luxury cars cost $75,000 and earn $30 per day. To find the number of each type of car the agency should purchase, solve the system of equations below, where x, y, and z are the numbers of compact cars, midsize cars, and luxury cars, respectively. y + 60 (1) (2) 1500 (3) X + 15,000x35,000y 20x + Z = + 75,000z = 1,900,000 30z = 30y +
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
Transcribed Image Text:A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 60 cars with a total of $1,900,000
and to earn a daily rental of $1500 from all the cars. The compact cars cost $15,000 and earn $20 per day in rental,
the midsize cars cost $35,000 and earn $30 per day, and the luxury cars cost $75,000 and earn $30 per day. To find
the number of each type of car the agency should purchase, solve the system of equations below, where x, y, and z
are the numbers of compact cars, midsize cars, and luxury cars, respectively.
60
(1)
(2)
1500 (3)
X +
y +
15,000x35,000y
20x +
30y +
Z =
+ 75,000z = 1,900,000
30z =
OC. There is no solution.
***
OA. There is one solution. The agency, should purchase
cars.
(Simplify your answers.)
compact cars.
midsize cars, and
luxury
OB. There are infinitely many solutions. If the agency purchases z luxury cars, then the agency should
purchase
compact cars and
midsize cars.
(Type expressions using z as the variable.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
