$2.$ Consider the data below on cable cut values in km and repair times for types of fiber.

$($a$)$ Plot the availability versus length of cable of each type over the range of $[10-200$ km$]$

$($b$)$ Compare using two aerials cables in parallel with buried armored cable for $10$ and $100$ km cables assuming costs of $\backslash (\backslash$$ $2000/\backslash$mathrm$\{$km$\}\backslash )$ for aerial and $\backslash (\backslash$$ $5,000/\backslash$mathrm$\{$km$\}\backslash )$ for buried armored.