Solve each optimization problem. 13) A supermarket employee wants to construct an open-top box from a 10 by 16 in piece of O cardboard. To do this, the employee plans to cut out squares of equal size from the four corners so the four sides can be bent upwards. What size should the squares be in order to create a box with the largest possible volume? Solve each related rate problem. 14) A hypothetical square grows so that the length of its diagonals are increasing at a rate of 7 m/min. How fast is the area of the square increasing when the diagonals are 10 m each? 15) A hypothetical cube grows so that the length of its sides are increasing at a rate of 3 m/min. How fast is the volume of the cube increasing when the sides are 3 m each? For each problem, use Implicit differentiation to find - in terms of x and y. dx 16) 3y - 5x2 + 3x2y 17) 4x - 2y' - 2 18) -y? - 5x2 + 5 = x