An open-top rectangular box is being constructed to hold a volume of 350 in^3. the base of the box is made from a material costing 5 cents/in^2. the front of the box must be decorated, and will cost 10 cents/in^2. the remainder of the sides will cost 4 cents/in^2. find the dimensions that will minimize the cost of constructing this box.

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?