Let C represent the cost of the box, measured in dollars. The volume of the box must be 80 cubic centimeters. Further, the top and bottom of the box cost $0.40 per square centimeter and the sides cost $0.20 per square centimeter. Use this information to write an equation for C in terms of x. find the derivative and second derivative of C and Find the dimensions (in cm) that will minimize cost. (Round your answers to two decimal places.)