The cost function of a large railroad corporation is Y=10^7+T, where Y is the total cost of shipping in U.S. dollars and T is the tons shipped. Last year the company charged on average 90 cent for each ton of freight. Their annual shipments totaled 50 million tons. This year they are considering

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
The cost function of a large railroad
corporation is Y=10^7+T, where Y is the
total cost of shipping in U.S. dollars and T is
the tons shipped. Last year the company
charged on average 90 cent for each ton of
freight. Their annual shipments totaled 50
million tons. This year they are considering
geographical expansion through the
purchase of a smaller railroad corporation
that last year shipped a total of 22 million
tons. Economists estimated that the total
cost function (for the merged corporations)
will be Y=20^7+0.1T, while 10% more
freight should be expected due to the
better geographic coverage, at a price
discounted by 10 cents. a) Which railroad
realizes greater EOS? Use a numerical
example or a graphic for proof. b) Show
numerically that the large railroad should
merge with the smaller one (calculate cost
vs. revenue).
Transcribed Image Text:The cost function of a large railroad corporation is Y=10^7+T, where Y is the total cost of shipping in U.S. dollars and T is the tons shipped. Last year the company charged on average 90 cent for each ton of freight. Their annual shipments totaled 50 million tons. This year they are considering geographical expansion through the purchase of a smaller railroad corporation that last year shipped a total of 22 million tons. Economists estimated that the total cost function (for the merged corporations) will be Y=20^7+0.1T, while 10% more freight should be expected due to the better geographic coverage, at a price discounted by 10 cents. a) Which railroad realizes greater EOS? Use a numerical example or a graphic for proof. b) Show numerically that the large railroad should merge with the smaller one (calculate cost vs. revenue).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Learner's Curve
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education