Question $5[12$ marks$]$

$[12$ marks$]$ Table $3$ below shows the estimated target year trip production and trip attraction in the

morning peak period for a $3-$zone city. Note that zone $A$ is a pure residential zone so that there is no

trip attraction in the morning peak.

Table $3.$ Trip production and attraction for Question $5$

The interzonal travel times are estimated as:

And intrazonal travel time can be assumed to be $15$ minutes.

Estimate the target year OD matrix, using the convergence criteria as within $5\%$ of target year trip

end totals. Assume the friction being $f_{ij}=$exp$(-0\mathrm{.}1t_{ij}),$ as necessary, where $t_{ij}$ is travel time from $i$

to $j$ in minutes.

You may use any solution approach.