A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 60 cars with a total of $1,100,000and to earn a daily rental of $2200 from all the cars. The compact cars cost $10,000 and earn $30 per day in rental, themidsize cars cost $20,000 and earn $40 per day, and the luxury cars cost $40,000 and earn $50 per day. To find thenumber of each type of car the agency should purchase, solve the system of equations below, where x, y, and z are thenumbers 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)1,100,000Select 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, andluxury cars.O B. There are infinitely many solutions. If the agency purchases z luxury cars, then the agency should purchasecompact cars andmidsize cars.(Type expressions using z as the variable.)

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Answered: A car rental agency rents compact,…

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.)
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