A microwaveable cup-ofsoup package needs to be constructed in the shape of cylinder to hold 500 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 0.08 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 = 7T?'2h Area of the sides: A = 27rrh Area of the top! bottom: A = 7'2 To minimize the cost of the package: Height: cm -10 10 20 30 40 George is a lifeguard and spots a drowning child 40 meters along the shore and 50 meters from the shore to the child. George runs along the shore for a while and then jumps into the water and swims from there directly to the child. George can run at a rate of 4 meters per second and swim at a rate of 1.2 meters per second. How far along the shore should George run before jumping into the water in order to save the child? Round your answer to three decimal places