Sufyan M.

asked • 03/06/21

Can someone solve this problem for me please

A small house was built on an island off a perfectly straight shoreline. The point B on the shoreline that is closest to the island is exactly 6 miles from the island. Eight miles east of B is the closest source of fresh water to the island. A pipeline is to be built from the island to the source of fresh water by laying pipe underwater in a straight line from the island to a point Q on the shoreline between B and the water source, and then laying pipe on land along the shoreline from Q to the source. It costs 8000 dollars per mile to lay the pipe under the water and 5000 dollars per mile to lay pipe on land. How far east of B should Q be located in order to minimize the total construction costs?

Find a formula for the cost of laying the pipe in terms of x


Find the value for x that will minimize the total cost.


2 Answers By Expert Tutors


Yefim S. answered • 03/06/21

5 (20)

Math Tutor with Experience

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