I have a calculus problem I really need help with. Town P is located 5 miles north of an ocean. City planners want to connect Town P to Power Plant Q, which is located off shore (in the ocean) several miles away. The rest i sin the comments.
If we draw on a coordinate system, we can place Town P at (0,5) and Power Plant Q (10, -3). The x-axis forms the beach, separating the land (everything above the x-axis) from the sea (everything located below the x-axis). It costs $5000 to place a mile of power lines on land and $10000 to place a mile of power lines in the ocean
a) find the least expensive way to connect the town to the power plant (how many miles of power plant should be built on land, how many should be built in water, and how much will the project cost b) Find the most expensive way to connect the town?
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