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A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 532,000 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, x₂ be the number of cars with a 14,000 gallon capacity, and x3 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. 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+ ( ), X₂=t+ (), and x3 = t for sts. (Simplify your answers. Type integers or simplified fractions.) OC. There is no solution.

A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 532,000 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, x₂ be the number of cars with a 14,000 gallon capacity, and x3 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. 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+ ( ), X₂=t+ (), and x3 = t for sts. (Simplify your answers. Type integers or simplified fractions.) OC. There is no solution.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 532,000 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 x₁ be the number of cars with a 7,000 gallon capacity, x₂ be the number of cars with a 14,000 gallon capacity, and x3 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 x₁ =, X₂ =, and x3 = (Simplify your answers.) t + (___), x₂ = t+ (___), and X3 = t for st≤ B. 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.) OC. There is no solution.
Transcribed Image Text:A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 532,000 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 x₁ be the number of cars with a 7,000 gallon capacity, x₂ be the number of cars with a 14,000 gallon capacity, and x3 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 x₁ =, X₂ =, and x3 = (Simplify your answers.) t + (___), x₂ = t+ (___), and X3 = t for st≤ B. 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.) OC. There is no solution.
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