Point A is located on an island that is 10 km away from the closest point B on a straight shoreline. An electrical substation is located at point C that is on the same shoreline as B and is 4 km away from point B. An electrical company wishes to lay a power cable from A to C by laying an underwater cable from A to some point P along the shore between B and C and then on to C via overhead cable. If the cost of laying cable (in Million of Pesos per km) is 24 million for underwater and 3 million for the overhead cables, where should the point P be located to minimize the cost of laying the cables? 1.98 km away from the substation 3.64 km away from the substation no the height of the right circular cylinder of arostort: 2.74 km away from the substation 4 km away from the substation incerib dincido the right circ cope with radiu in d height 12 in

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Point A is located on an island that is 10 km away from the closest point B on a
straight shoreline. An electrical substation is located at point C that is on the
same shoreline as B and is 4 km away from point B. An electrical company
wishes to lay a power cable from A to C by laying an underwater cable from A
to some point P along the shore between B and C and then on to C via
overhead cable. If the cost of laying cable (in Million of Pesos per km) is 24
million for underwater and 3 million for the overhead cables, where should the
point P be located to minimize the cost of laying the cables?
1.98 km away from the
substation
2.74 km away from the
substation
3.64 km away from the
substation
4 km away from the
substation
mine the height of the right circular cylinder of greatest volume that can be inscribed inside the right circular cone with radius 4 in and height 12 in.
Transcribed Image Text:Point A is located on an island that is 10 km away from the closest point B on a straight shoreline. An electrical substation is located at point C that is on the same shoreline as B and is 4 km away from point B. An electrical company wishes to lay a power cable from A to C by laying an underwater cable from A to some point P along the shore between B and C and then on to C via overhead cable. If the cost of laying cable (in Million of Pesos per km) is 24 million for underwater and 3 million for the overhead cables, where should the point P be located to minimize the cost of laying the cables? 1.98 km away from the substation 2.74 km away from the substation 3.64 km away from the substation 4 km away from the substation mine the height of the right circular cylinder of greatest volume that can be inscribed inside the right circular cone with radius 4 in and height 12 in.
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