A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 456 comma 000 gallons. Tank cars with three different carrying capacities are available: 6 comma 000 gallons, 12 comma 000 gallons, and 24 comma 000 gallons. How many of each type of tank car should be leased?
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Part 1
Let x Subscript 1 be the number of cars with a 6 comma 000 gallon capacity, x Subscript 2 be the number of cars with a 12 comma 000 gallon capacity, and x Subscript 3 be the number of cars with a 24 comma 000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice.
A.
The unique solution is x 1 equals
enter your response here, x 2 equals
enter your response here, and x 3 equals
enter your response here. (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 1 equals
enter your response heretplus(
enter your response here), x 2 equals
enter your response heretplus(
enter your response here), and x 3 equalst for
enter your response hereless than or equalstless than or equals
enter your response here.
(Simplify your answers. Type integers or simplified fractions.)
C.
There is no solution.
