A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 60 cars with a total of $1,100,000 and to earn a daily rental of $2200 from all the cars. The compact cars cost $10,000 and earn $30 per day in rental, the midsize cars cost $20,000 and earn $40 per day, and the luxury cars cost $40,000 and earn $50 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. x + y + Z = 60 (1) 10,000x+ 20,000y + 40,000z = (2) 30x + 40y + 50z = 2200 (3) 1,100,000 Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The agency should purchase compact cars, (Simplify your answers.) O C. There is no solution. midsize cars, and luxury cars. O B. 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.)
A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 60 cars with a total of $1,100,000 and to earn a daily rental of $2200 from all the cars. The compact cars cost $10,000 and earn $30 per day in rental, the midsize cars cost $20,000 and earn $40 per day, and the luxury cars cost $40,000 and earn $50 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. x + y + Z = 60 (1) 10,000x+ 20,000y + 40,000z = (2) 30x + 40y + 50z = 2200 (3) 1,100,000 Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The agency should purchase compact cars, (Simplify your answers.) O C. There is no solution. midsize cars, and luxury cars. O B. 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.)
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 $1,100,000
and to earn a daily rental of $2200 from all the cars. The compact cars cost $10,000 and earn $30 per day in rental, the
midsize cars cost $20,000 and earn $40 per day, and the luxury cars cost $40,000 and earn $50 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.
x +
y +
Z =
60
(1)
10,000x+ 20,000y + 40,000z =
(2)
30x +
40y + 50z =
2200 (3)
1,100,000
Select the correct choice below and fill in any answer boxes within your choice.
O A.
There is one solution. The agency should purchase compact cars,
(Simplify your answers.)
O C. There is no solution.
midsize cars, and
luxury cars.
O B. 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.)
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