A new equipment is being considered at a local company at a cost of $$200,000.$ The operation and maintenance costs of this equipment are estimated to be about $$20,000$ per year. Salvage value is expected to be $$40,000$ at the end of its useful life. The life of this equipment is estimated to vary anywhere from $5$ to $9$ years with the associated probabilities as shown in the table below. If an interest rate of $10\%$ is used, what is the expected EUAC for this equipment?

$\backslash$table$[[$Life$,$ Years,$5,6,7,8,9],[$Probability$,0\mathrm{.}3,0\mathrm{.}1,0\mathrm{.}15,0\mathrm{.}2,0\mathrm{.}25]]$

$$66,460$

$$55,970$

$$62,960$

$$58,206\mathrm{.}2$