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Section 4.6. Applied Optimization A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 400 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.07 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h : height of cylinder, r : radius of cylinder Volume of a cylinder: V = mr-h Area of the sides: A = 2arh Area of the top/bottom: A = 172 To minimize the cost of the package: Radius: cm Height: cm Minimum cost: cents