$3.(30$pts$)$ Look carefully at the network below:

$\backslash$#$\text{'}$s are required for this problem $($but PLEASE HELP yourself and determine them AFTER set$-$up $--$ DO NOT FORGET PART b$...)$

a$)(25$pts$)$ Set$-$up $2$ iterations of Backward$-$Forward Sweep with all tolerances $\backslash (=10^\{-2\}\backslash )$ Perform the $2$ iterations.

b$)(5$pts$)$ Using your values at the end of $\backslash (2^\{\backslash$text $\{$nd $\}\}\backslash )$ iteration, determine: $($If you are out of time, use $\backslash (1^\{\backslash$text $\{$st $\}\}\backslash )$ iteration values $-$ make expressions clear, you will receive full credit$)$

i$.$ the power coming out of the substation.

ii$.$ the power delivered to the load at bus $3$

iii. the power delivered to the load at bus $4$

iv$.$ the loss occurring in the system