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
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
Chapter1: Making Economics Decisions
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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).
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