1.What is the largest circle that can be inscribed within a polygon with corner coordinates (600,800), (900, 300), (500, 100), and (100, 40)? Find the radius of the largest circle and show how you found it from these coordinates.
2.The number of teleport inquires x in a time sharing system average .2 millisecond and follows a Poisson distribution. Find the probability at least one inquiry is made during the next millisecond.
3.A machine costs $20,000 and has a 5-year useful life. At the end of the 5 years, it can be sold for $4,000. If annual interest is 8%, compounded semiannually, what is the equivalent uniform annual cost of the machine?