fferent 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? et 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 1,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice. A. The unique solution is x₁=₁ 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+ ()₁ X₂=t+ ( ), and x3 = t for sts. (Simplify your answers. Type integers or simplified fractions.) OC. There is no solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 492,000 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.
O A. The unique solution is x₁ =
₁ X₂=₁, and x3 =
. (Simplify your answers.)
O 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
sts.
(Simplify your answers. Type integers or simplified fractions.)
C. There is no solution.
Transcribed Image Text:A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 492,000 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. O A. The unique solution is x₁ = ₁ X₂=₁, and x3 = . (Simplify your answers.) O 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 sts. (Simplify your answers. Type integers or simplified fractions.) C. There is no solution.
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