A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 406,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type of tank car should be leased? Let x, be the number of cars with a 7,000 gallon capacity, x, be the number of cars with a 14,000 galion capacity, and x, be the number of cars with a 28,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice.
A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 406,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type of tank car should be leased? Let x, be the number of cars with a 7,000 gallon capacity, x, be the number of cars with a 14,000 galion capacity, and x, be the number of cars with a 28,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Transcribed Image Text:A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 406,000 gallons. Tank
cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type
of tank car should be leased?
Let x, be the number of cars with a 7,000 gallon capacity, x, be the number of cars with a 14,000 gallon capacity, and x, be the
number of cars with a 28,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice.
O A. The unique solution is x, =, 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 x, =t+( ). x2 =t+), and x3 =t for|
sts
(Simplify your answers. Type integers or simplified fractions.)
OC. There is no solution.
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