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Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section: Chapter Questions
Problem 33CLR
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Question
A chemical manufacturer wants to lease a fleet of
28
railroad tank cars with a combined carrying capacity of
564,000
gallons. Tank cars with three different carrying capacities are​ available:
6,000
​gallons,
12,000
​gallons, and
24,000
gallons. How many of each type of tank car should be​ leased?
Let
x1
be the number of cars with a
6,000
gallon​ capacity,
x2
be the number of cars with a
12,000
gallon​ capacity, and
x3
be the number of cars with a
24,000
gallon capacity. Select the correct choice below and fill in the answer boxes within your choice.
 
 
A.
The unique solution is
x1=
x2=
and
x3=
​(Simplify your​ answers.)
 
B.
There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations
x1= t+​( ),
x2= t+​( ),
and
x3=t
for
     ≤t≤  .
​(Simplify your answers. Type integers or simplified​ fractions.)
 
C.
There is no solution.
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