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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
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 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.)
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.)
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