I need help solving these problems. My teacher gave me these as examples to practice on for an upcoming test and I am really in need of some help. So if anyone is willing to explain each one and work them out from start to finish. I would greatly appreciate it!! 1. A rectangular box with a square base and open top is to be constructed to have a volume of 108m cubed. What are the dimensions of the box that will require the least amount of material? 2. An open rectangular box is to be made from a 24in. by 9in. rectangular piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box with the largest volume that can be made? 3. A manufacturer determines that in order to sell x mp3 players, the price per player must be p=740-x. The total cost of producing x players is C(x)=5000+100x. How many players must the manufacturer produce in order to maximaze profit?