Using optimization. An offshore oil rig well is 4 kilometers off the coast. The refinery is 7 kilometers down the coast. Laying pipe in the ocean is twice as expensive as on land. What path should the pipe follow in order to minimize the cost? Complete the following statement. (Give your answer correct to 2 decimal places.)

The pipe should be laid in the ocean from the rig to a point on the coast____km from the refinery, then on land the remainder of the distance to the refinery.

Question

Using optimization. An offshore oil rig well is 4 kilometers off the coast. The refinery is 7 kilometers down the coast. Laying pipe in the ocean is twice as expensive as on land. What path should the pipe follow in order to minimize the cost? Complete the following statement. (Give your answer correct to 2 decimal places.)

The pipe should be laid in the ocean from the rig to a point on the coast____km from the refinery, then on land the remainder of the distance to the refinery.