A chemical manufacturer wants to lease a fleet of 29 railroad tank cars with a combined carrying capacity of 592,000 gallons. Tank cars with three different carrying capacities areavailable: 8,000 gallons, 16,000 gallons, and 32,000 gallons. Letting t=number of 32,000 railroad tank cars in thefleet, 2t16 8,000-gallon railroad tankcars, and 3t+45 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 $550 permonth, a 16,000-gallon tank car is $650 permonth, and a 32,000-gallon tank car is $950 per month. Which of the solutions to the number of each type of tank car in the fleet would minimize the monthly leasingcost?