Upgrading a highway A highway must be constructed to con- nect Village A with Village B. There is a rudimentary roadway that can be upgraded 50 mi south of the line connecting the two villages. The cost of upgrading the existing roadway is $300,000 per mile, whereas the cost of constructing a new highway is $500,000 per mile. Find the combination of upgrading and new construction that minimizes the cost of connecting the two vil- lages. Clearly define the location of the proposed highway. –150 mi- A B 50 mi 50'mi Old road

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter11: The Transportation Planning Process
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Upgrading a highway A highway must be constructed to con-
nect Village A with Village B. There is a rudimentary roadway
that can be upgraded 50 mi south of the line connecting the two
villages. The cost of upgrading the existing roadway is $300,000
per mile, whereas the cost of constructing a new highway is
$500,000 per mile. Find the combination of upgrading and new
construction that minimizes the cost of connecting the two vil-
lages. Clearly define the location of the proposed highway.
-150 mi-
A
B
50 mi
50 mi
Old road
Transcribed Image Text:Upgrading a highway A highway must be constructed to con- nect Village A with Village B. There is a rudimentary roadway that can be upgraded 50 mi south of the line connecting the two villages. The cost of upgrading the existing roadway is $300,000 per mile, whereas the cost of constructing a new highway is $500,000 per mile. Find the combination of upgrading and new construction that minimizes the cost of connecting the two vil- lages. Clearly define the location of the proposed highway. -150 mi- A B 50 mi 50 mi Old road
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