BrightTech Industries is evaluating whether to replace an aging automation system with a modem setup to streamline production. The new system will be used for the next three years, affer which the production line will be shut down and assets sold off. The upgrade will require an investment of $$560,000$ for equipment and installation, along with an additional $$32,000$ in

$3$

working capital, which will be fully recovered at the end of year $3.$ Over its three$-$year life, the new system is expected to lower total operating expenses from $59,000,500$ so $58,850,200.$ At the end of year $3,$ the new sytum can be sold for $$155,000.$ If the new system is installed, the existing equipment can be sold now for $$175,000.$ If it is kept inteat, its salvage valoe after three more years would drop to $$72,000.$ BrighiTech applies a $12$ N discoust nite to all project evaluations. Ignoring taxes, determine whether the replacement is finuscially jowtifid using the cash$-$flow approach. $(16$ points$)$