Question

suppose that you are a power company who must provide power to a lighthouse on an island 1 mile off shore. the nearest pole to run the line from is 2 miles up the shore from the line straight out to the lighthouse. if the line costs $1000/mile on land and $1500/mile on water, find the path that minimizes the total cost. should state how far from the pole the line leaves the shore to go to the lighthouse. shot that it is a minimum and find the cost.

Answer 1

land distance: x
water distance: √(1^2+(2-x)^2)

Now determine the cost c(x) and find its minimum.

Answer 2

so would the water distance just be 2-x?

Answer 3

15 x 100 =1500 km 360 x 12=720 + 3600=4320 km