chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 456,000 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 et x, be the number of cars with a 6,000 gallon capacity, x₂ be the number of cars with a 12.000 gallon capacity, and x, 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.) OB. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x₁ = + (Simplify your answers. Type integers or simplified fractions.) c. There is no solution. + and xy =t forsts.

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
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 456,000 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 x, 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.
OA. The unique solution is X₁ =. X₂=. and x3 =
(Simplify your answers.)
OB. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x₁ = t
(Simplify your answers. Type integers or simplified fractions.)
OC. There is no solution.
and x3 =1 for sts.
Transcribed Image Text:A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 456,000 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 x, 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. OA. The unique solution is X₁ =. X₂=. and x3 = (Simplify your answers.) OB. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x₁ = t (Simplify your answers. Type integers or simplified fractions.) OC. There is no solution. and x3 =1 for sts.
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