**How it works ?**

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 W**, which is 5 mi from the closest shorepoint

*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**”

*P*be located to minimize the cost of laying the pipe?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 **well**, **point ***B*, and **point P**).