Integer Solutions to Box Optimization Problems

Box optimization problems (how to find the maximum volume of a box from its dimensions) have been discussed in calculus classes for years. This talk will discuss the insights given by an article, written by Vincent E. Coll, Jeremy Davis, Martin Hall, Colton Magnant, James Stankewicz, and Hua Wang, from The College Mathematics Journal on integer solutions to these problems. It will then discuss of an application of these integer solutions to the maximization of the volume of a cylinder.