Average demand on a rural roadway ranges from zero to $300$ veh$/$day when the cost per trip goes from $\backslash (\backslash$$ $1\mathrm{.}25\backslash )$ to zero.

$($a$)$ Calculate the net user benefits per year $($in dollars$)$ if the cost decreases from $\backslash (\backslash$$ $0\mathrm{.}75\backslash )$ to $\backslash (\backslash$$ $0\mathrm{.}50/\backslash )$ trip $($assume a linear demand function$).\backslash (\backslash$$ $\backslash )$

$($b$)$ Compare the value calculated in $($a$)$ with the benefits as calculated in typical highway studies. $($Enter the benefits in dollars as calculate in typical highway studies.$)$

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