4. A pipeline is to be run to a resort community which is on an island 10 miles from the closest point on the shoreline. The water source for the pipe is 20 miles down the shore. If it costs $500/mile to lay pipe through water and $300/mile to lay pipe on land, at what point on the shoreline should the pipe turn into the water to minimize cost? What is the total cost? (see diagram) Island Pipeline Shoreline Water Source

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