A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. Letting t = number of 28,000 railroad tank cars in the fleet, 2t-28 7,000-gallon railroad tank cars, and 3t+54 14,000 gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing a 7,000-gallon tank car is $250 per month, a 14,000-gallon tank car is $750 per month, and a 28,000-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 leasing cost? 7,000-gallon tank cars, 14,000-gallon tank cars, and (Simplify your answers. Type whole numbers.) ... 28,000-gallon tank cars.
A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. Letting t = number of 28,000 railroad tank cars in the fleet, 2t-28 7,000-gallon railroad tank cars, and 3t+54 14,000 gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing a 7,000-gallon tank car is $250 per month, a 14,000-gallon tank car is $750 per month, and a 28,000-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 leasing cost? 7,000-gallon tank cars, 14,000-gallon tank cars, and (Simplify your answers. Type whole numbers.) ... 28,000-gallon tank cars.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons. Tank cars with three different carrying capacities
are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. Letting t = number of 28,000 railroad tank cars in the fleet, 2t - 28 7,000-gallon railroad tank cars, and - 3t+ 54
14,000 gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing a 7,000-gallon tank car is $250 per month, a 14,000-gallon tank car is $750
per month, and a 28,000-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 leasing cost?
7,000-gallon tank cars, 14,000-gallon tank cars, and
(Simplify your answers. Type whole numbers.)
(...
28,000-gallon tank cars.
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