Springfield Ironworks recently had their furnace break down and they need to quickly purchase a new one to minimize the disruption in their production. They can either choose a high quality furnace $($H$)$ that costs $$140,000$ with $$4,000$ of annual maintenance costs for the $7-$year life of the furnace, or a low quality furnace $($L$)$ that costs $$80,000$ with $$11,000$ in annual maintenance costs for the $4-$year life of the furnace. Which furnace should SI choose? What is the annualized cost of their choice? Assume a discount rate of $5\mathrm{.}5\%,$ and ignore all taxes

L$,$ $$118,557$

L$,$ $$33,824$

H$,$ $$28,635$

H$,$ $$162,732$