A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 416,000

gallons. Tank cars with three different carrying capacities are available: 8,000 gallons,16,000 gallons, and 32,000 gallons. Letting t = number of 32,000

railroad tank cars in the fleet, 2t- 2 8,000-gallon railroad tank cars, and -3t+27 16,000 gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing an 8,000-gallon tank car is $450 per month, a 16,000-gallon tank car is $550 per month, and a 32,000-gallon tank car is $1350 per month. Which of the solutions to the number of each type of tank car in the fleet would minimize the monthly leasing cost?

______ 8,000-gallon tank cars,

_______16,000-gallon tank cars, and

_______32,000-gallon tank cars.