A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 70...

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A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 70 cars with a total of $1,200,000 and to earn a daily rental of $3200 from all the cars. The compact cars cost $10,000 and eam $40 per day in rental, the midsize cars cost $20,000 and earn $50 per day, and the luxury cars cost $40,000 and earn $60 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+ 10,000x +20,000y+40,000z = 1,200,000 70 (1) (2) 40x + 50y+ 60z = 3200 (3) Select the correct choice below and fill in any answer boxes within your choice. OA. There is one solution. The agency should purchase compact cars, (Simplify your answers.) midsize cars, and luxury cars. OB. There are infinitely many solutions. If the agency purchases z luxury cars, then the agency should purchase (Type expressions using z as the variable.) compact cars and midsize cars. OC. There is no solution. A car rental agency rents compact, midsize, and luxury cars. Its goal is to purchase 70 cars with a total of $1,200,000 and to earn a daily rental of $3200 from all the cars. The compact cars cost $10,000 and eam $40 per day in rental, the midsize cars cost $20,000 and earn $50 per day, and the luxury cars cost $40,000 and earn $60 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+ 10,000x +20,000y+40,000z = 1,200,000 70 (1) (2) 40x + 50y+ 60z = 3200 (3) Select the correct choice below and fill in any answer boxes within your choice. OA. There is one solution. The agency should purchase compact cars, (Simplify your answers.) midsize cars, and luxury cars. OB. There are infinitely many solutions. If the agency purchases z luxury cars, then the agency should purchase (Type expressions using z as the variable.) compact cars and midsize cars. OC. There is no solution.