Problem $($algorithmic$)$: Larson Manufacturing is considering purchasing a new injectionmolding machine for $\backslash (\backslash$$ $300,000\backslash )$ to expand its production capacity. It will cost an additional $\backslash (\backslash$$ $52,000\backslash )$ to do the site preparation. With the new injection$-$molding machine installed, Larson Manufacturing expects to increase its revenue by $\backslash$$$70,000$ per year. The machine will be used for six years, with an expected salvage value of $\backslash (\backslash$$ $64,000\backslash ).$ At an interest rate of $\backslash (10\backslash \%\backslash ),$ would the purchase of the injection$-$molding machine be justified?