Q$2)(15$ Pts$.)$ To automatically insert components in printed circuit boards for a cell phone production line, a $$500,000$ surface mount placement $($SMP$)$ machine is evaluated by a manufacturing engineer at Motorola. Over the $10-$year planning horizon, it is estimated that the SMP machine will produce annual after tax cost savings of $$92,500.$ The engineer estimates the machine will be $$50,000$ at the end of $10-$year period. Based on the firm's $10\%$ after tax MARR, should the investment be made?