More optimization problems ... the patterns of "a common related variable", "constraints within a diagram", "similar triangles".

1. highway bridge.
Sheet Metal Roof
Dory Reflection- 733AM
More optimizations problems ...
... these are them.
Conehead
Wire and Wheat

2. Let's start with ...
A long rectangular sheet of metal, 12 inches wide, is to be made into a rain
gutter by turning up two sides so that they are perpendicular to the sheet.
How many inches should be turned up to give the gutter its greatest capacity?

3. and another ...
A North-South highway intersects an East-West highwat at a point P. A car
crosses P at 10:00 am, traveling east at a constant speed of 20 mi/hr.At that
same instant another car is 2 miles north of P, traveling south at 50 mi/hr. Find
the time at which they are closest to each other and approximate the minimum
distance between the automobiles.

5. This one's short ...
Find the maximun volume of a right circular cylinder that can be inscribed in a
cone of altitude 12 centimeters, and base radius 4 centimeters, if the centres of
the cylinder and cone coincide.