No calculator allowed. Must show work.

A company wishes to manufacture a box with a volume of 36 it that is open on top and is twice as long as it is wide. Find the dimensions of the box produced from the minimum amount of material. (a) The function to be minimized is M(w), where M is the material and w is the width of the bottom M(W)= (b) The dimensions of the box with minimum surface area are (Simplify your answer. Use a comma to separate answers as needed.)