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 $2 per square foot and the metal for the sides costs $5 per square foot. Find the dimensions that minimize cost if the box has a volume of 25 cubic feet. Length of base I 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 8 cm. If the area of printed material on the poster is fixed at 380 square centimeters, find the dimensions of the poster with the smallest area. printed material Width = (include units) Height = (include units)Optimization: Problem 5 Previous Problem Problem List Next Problem (1 point) A rancher wants to fence in an area of 1000000 square feet in a rectangular eld and then divide it in half with a fence down the middle parallel to one side. What is the shortest length offence that the rancher can use? Length of fence = .. feet