An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to construct the base is 2 dollars per square foot and the cost to construct the four sides is 2 dollars per square foot, determine the dimensions for a box to have volume = 100 cubic feet which would minimize the cost of construction. a. Determine the values for the dimension of the base.
b. The height of the box.