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An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric power for the house must come from a power station on the opposite side of the canal, 500 m downstream. If it cost twice as much to lay cable underwater as it does to lay cable on land, what path should be chosen to minimize the cost?

An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric power for the house must come from a power station on the opposite side of the canal, 500 m downstream. If it cost twice as much to lay cable underwater as it does to lay cable on land, what path should be chosen to minimize the cost?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve 13. f)

13. Choose any 5 of the following problems to complete. Solve the problem by following the procedure for solving an optimization problem. Show all your steps.
Transcribed Image Text:13. Choose any 5 of the following problems to complete. Solve the problem by following the procedure for solving an optimization problem. Show all your steps.
An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric power for the house must come from a power station on the opposite side of the canal, 500 m downstream. If it cost twice as much to lay cable underwater as it does to lay cable on land, what path should be chosen to minimize the cost?
Transcribed Image Text:An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric power for the house must come from a power station on the opposite side of the canal, 500 m downstream. If it cost twice as much to lay cable underwater as it does to lay cable on land, what path should be chosen to minimize the cost?
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