Oil from an offshore rig located 5 miles from the shoreline is to bepumped to a location on the edge of the shoreline that is 9 miles east ofthe rig. The cost of constructing a pipe in the ocean from the rig to theshore is 1.6 times as expensive as the cost of construction on land.Set up and analyze a model to determine how the pipe should be laid tominimize cost.Your "model" will need a clear drawing (or two or three or more) thatshows different ways that the pipe can be laid. You will also need toexplain the drawing and the parts of it that are subject to optimization.One of your drawings needs to give the arrangement that minimizes cost(with measurements and total cost included). You also need to givewritten mathematical proof/reasoning why this arrangement minimizescost. Yes, your reasoning should definitely involve calculus andderivatives!You can assume pipe is connectable using any angle of elbow necessary.

Here we have given that cost of constructing a pipe in the ocean from the edge to the shore is…

Oil from an offshore rig located 5 miles from the shoreline is to be pumped to a location on the edge of the shoreline that is 9 miles east of the rig. The cost of constructing a pipe in the ocean from the rig to the shore is 1.6 times as expensive as the cost of construction on land. Set and analyze a model to determine how the pipe should be laid to dn minimize cost.

Oil from an offshore rig located 5 miles from the shoreline is to be pumped to a location on the edge of the shoreline that is 9 miles east of the rig. The cost of constructing a pipe in the ocean from the rig to the shore is 1.6 times as expensive as the cost of construction on land. Set and analyze a model to determine how the pipe should be laid to dn minimize cost.

Solid Waste Engineering

3rd Edition

ISBN:9781305635203

Author:Worrell, William A.

Publisher:Worrell, William A.

Chapter4: Mechanical Processes

Section: Chapter Questions

Problem 4.7P

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