Thread: Mathematical Finance - simple problem

Hey guys, I would appreciate your help on this one...

A company that constructs containers faces the following problem. The material for a rectangular container costs £3 per square foot for the bottom and £2 per square foot for the sides and top.
Find dimensions of the container so that the volume is 12 cubic feet and the cost is minimum.

Please help!

Originally Posted by jamie89

Hey guys, I would appreciate your help on this one...

A company that constructs containers faces the following problem. The material for a rectangular container costs £3 per square foot for the bottom and £2 per square foot for the sides and top.
Find dimensions of the container so that the volume is 12 cubic feet and the cost is minimum.

Please help!

Just barely a finance problem.

Box it Length * Width * Height

Bottom = Length * Width
Top = Length * Width
Sides = 2*(Length * Height) + 2(Width * Height)

Now what?