Optimization: Problem 3 Previous Problem Problem List Next Problem (1 point) A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $3 per square foot and the metal for the sides costs $2 per square foot. Find the dimensions that minimize cost if the box has a volume of 45 cubic feet. Length of base : Height of side z =Optimization: Problem 4 Previous Problem Problem List Next Problem (1 point) The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 square centimeters, find the dimensions of the poster with the smallest area. printed material Width = (include units) Height = (include units)Optimization: Problem 5 PI'EfVlOLIS Problem Problem List Next Problem (1 point) A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down the middle. parallel to one side. What is the shortest length of fence that the rancher can use? Length of fence = feet