Through numerical methods, optimize the following problem: it is necessary to build an oil pipeline from a marine platform that is located 20 km offshore to the north, to some storage tanks that are on the beach and 15 km to the east. If the construction cost of each km of oil pipeline in the sea is $ 2,000,000 and on land it is $ 100,000, how far east should the underwater pipeline go to the
Through numerical methods, optimize the following problem: it is necessary to build an oil pipeline from a marine platform that is located 20 km offshore to the north, to some storage tanks that are on the beach and 15 km to the east. If the construction cost of each km of oil pipeline in the sea is $ 2,000,000 and on land it is $ 100,000, how far east should the underwater pipeline go to the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Through numerical methods, optimize the following problem: it is necessary to build an oil pipeline from a marine platform that is located 20 km offshore to the north, to some storage tanks that are on the beach and 15 km to the east. If the construction cost of each km of oil pipeline in the sea is $ 2,000,000 and on land it is $ 100,000, how far east should the underwater pipeline go to the beach so that the cost of construction is minimal?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
