Company X has been contracting its overhauling work to Company Y for $45 comma 000 per machine per year. Company X estimates that by building a $510 comma 000 maintenance facility with a life of 15 years and a salvage value of $130 comma 000 at the end of its life, it could handle its own overhauling at a cost of only $35 comma 000 per machine per year. What is the minimum annual number of machines that Company X must operate to make it economically feasible to build its own facility? (Assume an interest rate of 11%.)

An attorney came to work on a saturday. when he signed in, he was advised by the morning security guard employed by the building management that he must be out of the building by 5 p.m., when it closes. however, he stayed past 5 p.m. to complete a brief that had to be filed on monday morning. at 5: 15 p.m., the afternoon security guard set the locks on all the doors of the building and left. because she was in a hurry, she did not check the sign-in sheet to make sure that everyone had signed out, contrary to mandatory procedures. when the attorney tried to exit 15 minutes later, he discovered that the doors were all locked and could not be opened from the inside. he used his cell phone to call for , and a supervisor from the building arrived and let him out shortly thereafter. if the attorney sues the building management for false imprisonment, is he likely to win?