A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 60 cars with a total of $1,400,000 and to earn a daily rental of $1600 from all the cars. The compact cars cost $15,000 and earn $20 per day in rental, the midsize cars cost $25,000 and earn $30 per day, and the luxury cars cost $45,000 and earn $40 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. 1) x+y+z=60 2) 15000x+25000y-45000z=1400000 3) 20x+30y+40z=1600
A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 60 cars with a total of $1,400,000 and to earn a daily rental of $1600 from all the cars. The compact cars cost $15,000 and earn $20 per day in rental, the midsize cars cost $25,000 and earn $30 per day, and the luxury cars cost $45,000 and earn $40 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. 1) x+y+z=60 2) 15000x+25000y-45000z=1400000 3) 20x+30y+40z=1600
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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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 $1,400,000 and to earn a daily rental of $1600 from all the cars. The compact cars cost $15,000 and earn $20 per day in rental, the midsize cars cost $25,000 and earn $30 per day, and the luxury cars cost $45,000 and earn $40 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.
1) x+y+z=60
2) 15000x+25000y-45000z=1400000
3) 20x+30y+40z=1600
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