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.)
solve it using augmented matrix. Also it is homework
4. Now we'll look at a nonhomogeneous example. The general form for these is y' + p(x)y = f(x).
For this problem, we will find solutions of the equation
+2xy= xe
(a) Identify p(x) and f(x) in the equation above.
p(x) =
f(x) =
(b) The complementary equation is y' + p(x)y = 0. Write the complementary equation.
(c) Find a solution for the complementary equation. We'll call this solution y₁. (You only need one
particular solution, so you can let k = 0 here.)
Y1 =
(d) Check that y₁ satisfies the complementary equation, in other words, that y₁+ p(x)y₁ = 0.
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