Allen Bradley claims that its XM$1$Z$1$A and XM$442$ electronic overspeed detection relay modules provide customers a cost$-$effective monitoring and control system for turbo machinery. If the equipment provides more efficient turbine performance to the extent of $$20,000$ in year $1,$$$22,000$ in year $2,$ and amounts increasing by $$2000$ per year, how much could Mountain Power and Light afford to spend now at $10\%$ per year interest if it wanted to recover its investment in $5$ years?

$($$$89539\mathrm{.}6)$