BUDGET ALLOCATION FOR AUTO FLEET The management of Hartman Rent-A-Car has allocated $ 2.25 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $18 , 000 each, intermediate-size cars cost $ 27 , 000 each, and full-size cars cost $ 36 , 000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100 , determine how many cars of each type will be purchased. (Assume that the entire budget will be used.)
BUDGET ALLOCATION FOR AUTO FLEET The management of Hartman Rent-A-Car has allocated $ 2.25 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $18 , 000 each, intermediate-size cars cost $ 27 , 000 each, and full-size cars cost $ 36 , 000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100 , determine how many cars of each type will be purchased. (Assume that the entire budget will be used.)
Solution Summary: The author explains how to determine the number of compact, intermediate-size, and full-sized cars to be purchased, using Gauss-Jordan elimination method.
BUDGET ALLOCATION FOR AUTO FLEET The management of Hartman Rent-A-Car has allocated
$
2.25
million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost
$18
,
000
each, intermediate-size cars cost
$
27
,
000
each, and full-size cars cost
$
36
,
000
each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is
100
, determine how many cars of each type will be purchased. (Assume that the entire budget will be used.)
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