# Thread: Optimization problems(maximum and minim.)

1. ## Optimization problems(maximum and minim.)

Please, I need help with this problem.
Can anybody explain me step by step what to do.

A piece of cardboard is marked with 10 solid lines and 6 dashed lines along which cuts and folds are to be made. The cuts free two corner pieces, which are not used in the subsequent folding of the cardboard and gluing of the tab to form the box. The area of the piece of cardboard must not exceed 1400 in.2. When glued, the tab overlaps BC by 1.25 in. For strength, the dimensions of the eight pieces forming the top and bottom must satisfy AB = (1/2)DE = (1/3) CD. Choose dimensions AB and BC so that the volume of the box is a maximum.

I know the final result will result in a box design.
_______________________________________________
|A G| | | | |
| | | | | |
|----------------------------------------------------|
|B : F: : : T|
| : : : : a|
|C D: G: : : b|
|----------------------------------------------------|
| | | | | |
|__________|________|_____________|_______|____|

Thank you!