Complete the following Problem showing all work. Either type work in word file. Photograph, or scan your work and send the file through the box below. A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 7 (.07) cents per square centimeter. The top will be made of glued paper, costing 9 (.09) cents per square centimeter. Find the dimensions for the package that will minimize production cost. Volume of a cylinder: V = Tr h Area of the sides: A = 27rrh Area of the top/bottom: A = mr Area of the top/bottom: A = 172 To minimize the cost of the package Find: Radius: cm Height: cm Minimum cost: $ Upload your Step by Step work below