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farking scheme: marks for illustration and or show of analysis marks for correct solution that leads to correct o mark for correct answer including units marks for timeliness of submission.

farking scheme: marks for illustration and or show of analysis marks for correct solution that leads to correct o mark for correct answer including units marks for timeliness of submission.

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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Target Competency: illustrate the Extreme Value Theorem Solve optimization problems STEM_BC11D-IIIF-3 Direction: Answer the following optimization problems systematically, answer only those question given to your class. Marking scheme: marks for illustration and or show of analysis marks for correct solution that leads to correct answer and presentation mark for correct answer including units marks for timeliness of submission. (2) An offshore oil well located at a point W that is 5 km from the closest point A on a straight shoreline. Oil is to be piped from W to a shore point B that is 8 km from A by piping it on a straight line underwater from W to some shore point P between A and B and then on to B via pipe along the shoreline. If the cost of laying pipe is P10,000,000/km underwater and P5,000,000/km over land, where should the point P be located to minimize the cost of laying the pipe?
Transcribed Image Text:Target Competency: illustrate the Extreme Value Theorem Solve optimization problems STEM_BC11D-IIIF-3 Direction: Answer the following optimization problems systematically, answer only those question given to your class. Marking scheme: marks for illustration and or show of analysis marks for correct solution that leads to correct answer and presentation mark for correct answer including units marks for timeliness of submission. (2) An offshore oil well located at a point W that is 5 km from the closest point A on a straight shoreline. Oil is to be piped from W to a shore point B that is 8 km from A by piping it on a straight line underwater from W to some shore point P between A and B and then on to B via pipe along the shoreline. If the cost of laying pipe is P10,000,000/km underwater and P5,000,000/km over land, where should the point P be located to minimize the cost of laying the pipe?
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