# Oil Pipeline Optimization Problem

- Author:
- Tim Brzezinski

- Topic:
- Calculus, Derivative, Optimization Problems

This (modifiable) applet was created to model this problem that appears on pg. 218 in Howard Anton's

**Calculus 5/E**text (c) 1995 by John Wiley & Sons, Inc. "An**offshore oil well**is located in the ocean at a**point**, which is 5 mi from the closest shorepoint*W**A*on a straight shoreline. The oil is to be piped to a**shorepoint**that is 8 mi away from*B**A*by**piping it on a straight line under water**from**to***W***some shorepoint**between*P**A*and**and then on to***B**via pipe***B****along the shoreline**. If the cost of**laying pipe is $100,000 per mile under water**and**$75,000 per mile over land**,**where should the point**" Use optimization (i.e. real-world application of the closed-interval method) to solve this problem. You can use this applet to determine the reasonableness of your solution afterwards. (You can also change the locations of the*P*be located to minimize the cost of laying the pipe?**well**,**point***B*, and**point**).*P*