These are two word problems on a take-home test I'm working on and I'm pretty they're dealing with extreme values and such; but I'm confused as to how to do these, for some reason they aren't like the in-class ones I've done. Help?
1: A closed rectangular container with a square base is to have a volume of 2250 inches cubed. The material for the top and bottom of the container will cost $2 per inch squared and the material for the sides will cost $3 per inch squared. Find the dimensions of the container of the least cost.
2: At noon ship A was 100 miles due east of ship B. Ship A is sailing west at 12 miles per hour and ship B is sailing south at 10 miles per hour. At what time will the ships be nearest to each other, and what will this distance be?