ABC Holdings, the owner of a $25,000-$square$-$foot warehouse building, just installed a $95\%-$efficiency HVAC system with a $25-$year service life at a cost of $$15\mathrm{.}00$ per square foot. The annual cost of energy consumption and associated operating expenses is estimated to be $$2\mathrm{.}00$ per square foot. What is the approximate total life cycle cost of the HVAC system at a $11\mathrm{.}5\%$ discount rate? Ignore the rate of energy inflation. No other costs are considered.

$95\%-$ Efficient HCAV:

Study Period: $25$ years

Building Size: $25000$ sf

Initial Cost: $$15/$sf

Annual Energy Cost $$2/$sf