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A power line needs to be run from a power station located on the beach to an offshore facility. {{CMD_128}} {{ENV_129}} {{CMD_130}} It costs {{CMD_131}}50/ft. to run a power line along the land, and {{CMD_132}}130/ft. to run a power line under water. How much of the power line should be run along the land to minimize the overall cost? What is the minimal cost? {{CMD_133}} There are two immediate solutions that we could consider, each of which we will reject through ``common sense.'' First, we could minimize the distance by directly connecting the two locations with a straight line. However, this requires that all the wire be laid underwater, the most costly option. Second, we could minimize the underwater length by running a wire all 5000 ft. along the beach, directly across from the offshore facility.

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