Solved: Industrial costs A power plant sits next to a
Chapter 1, Problem 72E(choose chapter or problem)
Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new cable from the plant to a location in the city \(2mi\) downstream on the opposite side costs $180 per foot across the river and $100 per foot along the land.
Suppose that the cable goes from the plant to a point \(Q\) on the opposite side that is \(x\) ft from the point \(P\) directly opposite the plant. Write a function \(C(x)\) that gives the cost of laying the cable in terms of the distance \(x\).Generate a table of values to determine if the least expensive location for point \(Q\) is less than 2000 ft or greater than 2000 ft from point \(P\).
Equation Transcription:
Text Transcription:
2mi
Q
x
P
C(x)
x
Q
P
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