An island is 3 mi from the nearest point on a straight shoreline; that point is 16 mi from a power station (see figure). 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 $2600/mi to lay cable underwater and $1300/mi to lay underground cable. At what point The cost is minimized when x is mi. should the underwater cable meet the shore to minimize the cost of the project? Let x be the distance from the shoreline closest to the island and the point where the cable leaves the shore. (Type an exact answer.) Island The minimum installation cost is S (Round to the nearest cent as needed.) Cable 3 mi Power Station 16 mi
An island is 3 mi from the nearest point on a straight shoreline; that point is 16 mi from a power station (see figure). 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 $2600/mi to lay cable underwater and $1300/mi to lay underground cable. At what point The cost is minimized when x is mi. should the underwater cable meet the shore to minimize the cost of the project? Let x be the distance from the shoreline closest to the island and the point where the cable leaves the shore. (Type an exact answer.) Island The minimum installation cost is S (Round to the nearest cent as needed.) Cable 3 mi Power Station 16 mi
Chapter5: Polynomial And Rational Functions
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Transcribed Image Text:An island is 3 mi from the nearest point on a straight shoreline; that point is 16 mi from a
power station (see figure). 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 $2600/mi to lay cable underwater and $1300/mi to lay underground cable. At what point The cost is minimized when x is
should the underwater cable meet the shore to minimize the cost of the project?
Let x be the distance from the shoreline closest to the island and the point where the cable
leaves the shore.
mi.
(Type an exact answer.)
Island
The minimum installation cost is $
(Round to the nearest cent as needed.)
Cable
3 mi
Power
Station
16 mi
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