$6.$ Two public infrastructure projects have the economic profiles that follow:

$\backslash$begin$\{$tabular$\}\{$llllllll$\}$

& $\backslash$multicolumn$\{3\}\{$c$\}\{$ Option A $\}$ & & $\backslash$multicolumn$\{3\}\{$c$\}\{$ Option B $\}\backslash \backslash$

$\backslash$cline $\{2-4\}\backslash$cline $\{6-7\}$ & Capital $\backslash \backslash$

Year & $\backslash$begin$\{$tabular$\}\{$l$\}$

Operating and $\backslash \backslash$

Maintenance $\backslash \backslash$

Cost $(\backslash$$$)$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$l$\}$

Cost $(\backslash$$$)\backslash \backslash$

$(\backslash$$$)$

$\backslash$end$\{$tabular$\}$ & & $\backslash$begin$\{$tabular$\}\{$l$\}$

Operating and $\backslash \backslash$

Cost $(\backslash$$$)$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$l$\}$

Maintenance $\backslash \backslash$

Cost $(\backslash$$$)$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$l$\}$

Benefits $\backslash \backslash$

$(\backslash$$$)$

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline $1$ & $\backslash (2,000,000\backslash )$ & $0$ & $0$ & $\backslash (2,500,000\backslash )$ & $0$ & $0\backslash \backslash$

$\backslash$hline $2$ & $\backslash (1,000,000\backslash )$ & $10,000$ & $0$ & $500,000$ & $50,000$ & $750,000\backslash \backslash$

$\backslash$hline $3$ & $500,000$ & $70,000$ & $120,000$ & & $100,000$ & $750,000\backslash \backslash$

$\backslash$hline $4$ & & $90,000$ & $600,000$ & & $100,000$ & $750,000\backslash \backslash$

$\backslash$hline $5$ & & $90,000$ & $800,000$ & & $100,000$ & $750,000\backslash \backslash$

$\backslash$hline $6$ & $90,000$ & $800,000$ & & $100,000$ & $750,000\backslash \backslash$

$\backslash$hline $7$ & & $90,000$ & $800,000$ & & $100,000$ & $750,000\backslash \backslash$

$\backslash$hline $8$ & $90,000$ & $800,000$ & & $100,000$ & $750,000\backslash \backslash$

$\backslash$hline $9$ & & $100,000$ & $800,000$ & & $100,000$ & $750,000\backslash \backslash$

$\backslash$hline $10$ & & $100,000$ & $500,000$ & & $100,000$ & $300,000\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Use these data to compute for each $($a$)$ the NPV at discount rates of $10$ and $5$ percent, $($b$)$ the BCR at the same rates, and $($c$)$ the internal rate of return for each. Describe the facts about the projects that would dictate which criterion is appropriate, and indicate which project is preferable under each circumstance.