In this question, you will work step-by-step through an optimization problem.Many airlines restrict the size of carry on item in terms of their combined length, width and height (L+W+H).I am due to fly on an airline that states "The sum of the length, the width and height of your item must be at most 70 inches".Suppose I want to take a box (cuboid) on my trip that will allow me to carry on as much as possible, and that I also want this box to have a square base.The questions we will answer using optimization are: What dimensions should the box have, and what would be the resulting maximum volume?If the base of the box is a square whose sides have length x, and the height of the box is h (both measured in inches), enter expressions for the volume of the box, V, and the sum of the length, width and height of the box in terms of x and h.