Q$5$: A small town has been divided into three traffic zones. An origin$-$destination survey was conducted earlier this year and yielded the number of trips between each zone as shown in the table below. Travel times between zones were also determined. Provide a trip distribution calculation using the gravity model for two iterations. Assume Kij$=1.$

The following table shows the number of productions and attractions in each zone.

$\backslash$table$[[$Zone$,1,2,3,$Total$],[$Productions$,250,450,300,1000],[$Attractions$,395,180,425,1000]]$

The survey's results for the zones' travel time in minutes were as follows.

$\backslash$table$[[$Zone$,1,2,3],[1,6,4,2],[2,2,8,3],[3,1,3,5]]$

The following table shows travel time versus friction factor.

$\backslash$table$[[$Time min