A chemical manufacturer wants to lease a fleet of 22 railroad tank cars with a combined carrying capacity of 414,000 gallons. Tank cars with three different carrying capacities are available: 9,000 gallons, 18,000 gallons, and 36,000 gallons. Letting t = number of 36,000 railroad tank cars in the fleet, 2t -2 9,000 gallon railroad tank cars, and -3t+24 18,000-gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing 9,000-gallon tank car is $250 per month, 18,000-gallon tank car is $750 per month, and a 36,000-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 leading cost
A chemical manufacturer wants to lease a fleet of 22 railroad tank cars with a combined carrying capacity of 414,000 gallons. Tank cars with three different carrying capacities are available: 9,000 gallons, 18,000 gallons, and 36,000 gallons. Letting t = number of 36,000 railroad tank cars in the fleet, 2t -2 9,000 gallon railroad tank cars, and -3t+24 18,000-gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing 9,000-gallon tank car is $250 per month, 18,000-gallon tank car is $750 per month, and a 36,000-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 leading cost
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