On a $1000-$MVA common base, a two$-$area system interconnected by a tie line has the following parameters: Area $1$: R $=0\mathrm{.}05$ per unit, D $=0\mathrm{.}6$ per unit Area $2$: R $=0\mathrm{.}0625$ per unit, D $=0\mathrm{.}9$ per unit The two areas are operating in parallel at the nominal frequency of $60$ Hz$.$ The areas are initially operating in steady state with each area supplying $1000$ MW when a sudden load increase of $187\mathrm{.}5$ MW occurs in area $1.$ Assume that the increment load is not sensitive to frequency. Compute the new steady$-$state frequency and change in tie$-$line power flow for the following two cases. $)$ LFC is employed.