Solve the ff. problems as required.

1. A power line is needed to connect a power station on the shore of a river to an island 4 miles downstream and 1 mile offshore. Find the minimum cost for such a line given that is costs PhP 2,500,000.00 per mile to lay wire under the water and PhP 1,500,000.00 per mile to lay wire underground.
2. Find the largest circular cylinder that can be inscribed in a circular cone of height 6 feet and radius 2 feet.
3. A 4-meter length of stiff wire is cut in two pieces. One piece is bent into the shape of a square and the other into a rectangle whose length is 3 times its width. Find the largest sum of the area that can be made this way.

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