A company is about to design a box to pack three circular objects. These objects have different radii; R1 = 6, R2 = 12, R3 = 16. The objective is to find the minimum dimensions for the box. In addition, the company does not like the objects to have overlap in the box.
Let X and Y be the sides of the rectangle, and the objective: Minimize Z = 2X+2Y. What are the constraints?