is 8 mi from a power station. A util underwater from the island to the shore to the power station. Assume underwater and $2000 per mile to should the underwater cable meet

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 69PS
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2. An island is 10 mi from the nearest point on a straight shoreline; that point
is 8 mi from a power station. A utility company plans to lay electrical cable
underwater from the island to the shore and then underground along the
shore to the power station. Assume that is costs $3000 per mile to lay cable
underwater and $2000 per mile to lay underground cable. At what point
should the underwater cable meet the shore to minimize the cost of the
project.
Note: be sure to check the endpoints of your interval of interest!
island
10
power
station
8
Transcribed Image Text:2. An island is 10 mi from the nearest point on a straight shoreline; that point is 8 mi from a power station. A utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $3000 per mile to lay cable underwater and $2000 per mile to lay underground cable. At what point should the underwater cable meet the shore to minimize the cost of the project. Note: be sure to check the endpoints of your interval of interest! island 10 power station 8
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