A set of $h$ parameters are provided as follows:, $h_{11}=20 \mathrm{k} \Omega ; h_{12}=0 ; h_{21}=100 ;$ and $h_{22}=1 \times 10^{-5}$. If the output is connected to an external load resistance of $50 \mathrm{k} \Omega$, determine: (a) the network's input resistance, (b) the network's current gain, (c) the network's voltage gain, (d) the network's output resistance.