Milan Corporation is interested in buying a machine that will cost $50,000, and it will depreciate it on straight-line basis over a 5-year period. The machine is expected to last for 7 years and then Milan will sell it for $5,000. The expected earnings before taxes from the machine is $15,000 with a standard deviation of $5,000. The income tax rate of Milan is 35%, and it uses 10% as discount rate.
(A) Find the minimum earnings before taxes that this machine should generate annually to justify its purchase.
(B) Find the probability that this machine will be profitable.