Letting t=number of 20,000 railroad tank cars in the fleet, 2t−4 5,000-gallon railroad tank cars, and −3t+27 10,000 gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing a 5,000-gallon tank car is $550 permonth, a 10,000-gallon tank car is $650 per month, and a 20,000-gallon tank car is $1250
Letting t=number of 20,000 railroad tank cars in the fleet, 2t−4 5,000-gallon railroad tank cars, and −3t+27 10,000 gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing a 5,000-gallon tank car is $550 permonth, a 10,000-gallon tank car is $650 per month, and a 20,000-gallon tank car is $1250
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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Question
A chemical manufacturer wants to lease a fleet of
23
railroad tank cars with a combined carrying capacity of
250,000
gallons. Tank cars with three different carrying capacities are available:
5,000
gallons,
10,000
gallons, and
20,000
gallons. Letting
t=number
of
20,000
railroad tank cars in the fleet,
2t−4
5,000-gallon
railroad tank cars, and
−3t+27
10,000
gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing
a
5,000-gallon
tank car is
$550
permonth,
a
10,000-gallon
tank car is
$650
per month, and a
20,000-gallon
tank car is
$1250
per month. Which of the solutions to the number of each type of tank car in the fleet would minimize the monthly leasing cost?5,000-gallon
tank cars,
10,000-gallon
tank cars, and
20,000-gallon
tank cars.(Simplify your answers. Type whole numbers.)
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