Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 260,000 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 -2 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 per month, a 10,000-gallon tank car is $650 per month, and a 20,000-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? 5,000-gallon tank cars, 10,000-gallon tank cars, and 20,000-gallon tank cars. (Simplify your answers. Type whole numbers.)

A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 260,000 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 -2 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 per month, a 10,000-gallon tank car is $650 per month, and a 20,000-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? 5,000-gallon tank cars, 10,000-gallon tank cars, and 20,000-gallon tank cars. (Simplify your answers. Type whole numbers.)

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.2: Solve Systems Of Equations By Substitution
Problem 5.47TI: Geraldine has been offered positions by two insurance companies. The first company pays a salary of...
See similar textbooks
icon
Related questions
Question
A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 260,000 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 – 2 5,000-gallon railroad tank cars, and cost of leasing a 5,000-gallon tank car is $550 per month, a 10,000-gallon tank car is $650 per month, and a 20,000-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? - 3t + 27 10,000 gallon railroad tank cars will be in the fleet for a certain range of t. The 5,000-gallon tank cars, 10,000-gallon tank cars, and 20,000-gallon tank cars. (Simplify your answers. Type whole numbers.)
Transcribed Image Text:A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying capacity of 260,000 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 – 2 5,000-gallon railroad tank cars, and cost of leasing a 5,000-gallon tank car is $550 per month, a 10,000-gallon tank car is $650 per month, and a 20,000-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? - 3t + 27 10,000 gallon railroad tank cars will be in the fleet for a certain range of t. The 5,000-gallon tank cars, 10,000-gallon tank cars, and 20,000-gallon tank cars. (Simplify your answers. Type whole numbers.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Matrix Factorization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS