A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying capacity of 540,000gallons. 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 x₂ bethe number of cars with a 24,000 gallon capacity. Select the correct choice below and fill in the answer boxes within yourchoice.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 obtainedfrom the equations x₁ = + ( ), X₂=t+(), and x3 = t for(Simplify your answers. Type integers or simplified fractions.)stsOC. There is no solution.

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A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying capacity of 540,000 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 +), x₂ = + (), and x3 = t for sts (Simplify your answers. Type integers or simplified fractions.) OC There is no solution