A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying capacity of 468,000 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. 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+ ( ), and x3 = t for sts (Simplify your answers. Type integers or simplified fractions.) X2 = OC. There is no solution.
A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying capacity of 468,000 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. 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+ ( ), and x3 = t for sts (Simplify your answers. Type integers or simplified fractions.) X2 = OC. There is no solution.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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