Maximum volume box Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 108 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions?

Solution Step 1: Consider a square box having width l,length l and height h Sum of width,breadth and height of box is constraint,S=2l+h which is not exceeding 108 Therefore 2l+h=108 Volume of square based box is objective function,V=l h 2 The objective is to find the dimension and volume of a box having greatest volume