$11\mathrm{.}7$ A not$-$for$-$profit hospital realizes a $3$ percent return on its $$200,000$ investment in its home health unit. Its current revenue after discounts and allowances is $$382,000.$ Administrative costs are $$119,000,$ clinicad personnel costs are $$210,000,$ and supply costs are $$47,000.$ Providing home health care is not a core goal of the hospital, and it will sell the home health unit if it cannot realize a return of at least $12$ percent. A process improvement team has recommended changes to the home health unit's billing processes. The team has concluded that these changes could reduce costs by $$20,000$ and increase revenues by $$5,000.$ Analyze the data that follow and assess whether the changes would make the home health, unit profitable enough to keep.

$\backslash$table$[[,$Old,New$],[$Revenue$,$$$382,000,$$$387,000$