| # Exercises Geometric Programming > Exercises We seek to optimize the shape of a box-shaped structure with height , width , and depth . Due to cost concerns, we have an upper limit on the total wall area , another upper limit on the floor area . For structural reasons, we have lower and upper bounds on the aspect ratio , and similar bounds on the aspect ratio . Subject to these constraints, we wish to maximize the volume of the structure, . Express the problem in the standard form for an optimization problem. Express this problem as a geometric program (GP) in standard GP form. (Note: you are not asked to put it in the standard convex form for GPs.)