Q$4.$ By applying Life Cycle Costing technique, evaluate which building with cost data shown below is more economical. Both buildings provide the same net floor areas and are expected to have $50$ years building life. Interest rate is $\backslash (5\backslash \%\backslash )$ per annum. $\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}\backslash$hline & Building X & Building Y $\backslash \backslash \backslash$hline Initial cost & $\backslash$$$50,000,000$ & $\backslash$$$60,000,000\backslash \backslash \backslash$hline Repair cost & $\backslash (\backslash$$ $600,000\backslash )$ in every $10$ years & $\backslash (\backslash$$ $800,000\backslash )$ in every $20$ years $\backslash \backslash \backslash$hline Maintenance cost & $\backslash$$$300,000$ per annum & $\backslash$$$150,000$ per annum $\backslash \backslash \backslash$hline Energy cost & $\backslash$$$1,000,000$ per annum & $\backslash$$$500,000$ per annum $\backslash \backslash \backslash$hline Major Renovation & Not applicable & $\backslash (\backslash$$ $1,000,000\backslash )$ in every $20$ years $\backslash \backslash \backslash$hline Demolition$/$Disposal & $\backslash$$$2,000,000$ & $\backslash$$$1,500,000\backslash \backslash \backslash$hline $\backslash$end$\{$tabular$\}(15$ marks$)$