The base year O$-$D matrix for a four zone study area is given in the table below. Use the doubly$-$constrained Fumess model to find the trip matrix for the target year.

Table$3\mathrm{.}1-$ Base year O$-$D matrix with target year trip production and attraction

$\backslash$table$[[,1,2,3,4,{\displaystyle \underset{j}{\overset{?}{}}},$Target $O_i$