Problem $2)$: Trip Distribution $-$Average Factor Method

The network described by the Origin$-$Destination matrix below is to be analyzed for the year $2020.$ Zones $1$ through $5$ are expected to grow by factors of $2,2,3,5,$ and $4,$ respectively. Determine the projected volumes originating from zone $1($only$)$ to the other zones for the year $2025$ using the Average Factor method.

$\backslash$table$[[,$Origin,$],[,,1,2,3,4,5,$total$],[,1,0,50,60,70,30,210],[2,40,0,30,60,80,210],[3,90,40,0,20,50,200],[4,80,70,90,0,30,270],[5,30,40,50,60,0,180],[,$total,$240,200,230,210,190,1070]]$