A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 420,000 gallons. Tank cars with three different carrying capacities are available: 6,000 gallons, 12,000 gallons, and 24,000 gallons. How many of each type of tank car should be leased?
A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 420,000 gallons. Tank cars with three different carrying capacities are available: 6,000 gallons, 12,000 gallons, and 24,000 gallons. How many of each type of tank car should be leased?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 52SE: A car wash offers the following optional services to the basic wash: clear coat wax, triple foam...
Related questions
Question
A chemical manufacturer wants to lease a fleet of
28
railroad tank cars with a combined carrying capacity of
420,000
gallons. Tank cars with three different carrying capacities are available:
6,000
gallons,
12,000
gallons, and
24,000
gallons. How many of each type of tank car should be leased?Let
x1
be the number of cars with a
6,000
gallon capacity,
x2
be the number of cars with a
12,000
gallon capacity, and
x3
be the number of cars with a
24,000
gallon capacity. Select the correct choice below and fill in the answer boxes within your choice.The unique solution is
x1=nothing,
x2=nothing,
and
x3=nothing.
(Simplify your answers.)There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations
x1=nothingt+(nothing),
x2=nothingt+(nothing),
and
x3=t
for
nothing≤t≤nothing.
(Simplify your answers. Type integers or simplified fractions.)
There is no solution.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
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
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell