Solve the problem.A barge is located 200 feet away from the coastline 1200 feet down the coast from a power source at point A. To supply the barge with electricity, a power line will be run from point A to a point B on the coast and then from point B to the barge. If power lines on land coast $3 per foot and power lines under water cost $5 per foot, calculate the total cost of running a power line from point A to the barge when point B is 800 feet down the coast from point A in the direction of the barge. Recalculate the total cost when the distance from A to B is increased in 50-foot increments, until you locate a possible minimum cost. Interpret your solution.

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What will be an ideal response?

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$4636.07; The minimum cost is $4400 when the point is chosen 1050 feet to the right of A.

Mathematics