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Lego Group in Bellund, Denmark, manufactures Lego toy construction blocks. The company is considering two methods for producing special$-$purpose Lego parts. Method $1$ will have an initial cost of $$350000,$ an annual operating cost of $$105000,$ and a life of $3$ years. Method $2$ will have an initial cost of $$550000,$ an operating cost of $$130000$ per year, and a $6-$year life. Assume $10\mathrm{.}00\%$ salvage values for both methods. Lego uses an MARR of $13\mathrm{.}00\%$ per year.

If the evaluation is incorrectly performed using the respective life estimates of $3$ and $6$ years, will Lego make a correct or in economic decision? Explain your answer. $($Include a minus sign if necessary.$)$

The present worth of method $1$ is $

$($ and that of method $2$ is $

Method is selected.