A docking facility 4 miles off shore stores large amounts of oil. It is to be connected by a pipe to a refinery onshore.. 8 miles down the shore line from facility as shown in the figure. If underwater pipe cost $3,000 per mile and land-based pipe cost $2,000 per mile, what solution of piping would minimize the cost of connection? Show equations and determine solution with calculator.
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A docking facility 4 miles off shore stores large amounts of oil. It is to be...
An offshore oil well must be connected by pipe to the refinery. The oil-well is 2 km off-shore. The refinery is on the coast, 3 km from the nearest point of land to the oil well. The coastline is perfectly straight. It costs $ S per kilometre to lay pipe along the shore, but U times as much per km to lay pipe undenwater. The pipe may be laid either straight to the refinery, or to an intermediate point on...