$2.(20$ points$)$ San Miguel County is studying two different projects, a landfill and a library. Only one can be funded. The relevant data is shown below. Use an annual worth, incremental $(\backslash (\backslash$Delta $\backslash$mathrm$\{$B$\}/\backslash$mathrm$\{$C$\}\backslash ))$ analysis to evaluate the better alternative. The county uses an interest rate of $\backslash (8\backslash \%\backslash ).$ You may assume the B$/$C of the Landill $-$ DN option is $>1\mathrm{.}0$ It is estimated the library will have a rebuild$/$refurbishment cost of $\backslash (\backslash$$ $500,000\backslash )$ every $15$ years after initial construction. The landfill will have just the one time rebuild cost once at the end of year $6.$ M is in millions.