A company has four employees $($E$1,$ E$2,$ E$3,$ and E$4)$ who need to be assigned to four different tasks $($T$1,$ T$2,$ T$3,$ and T$4).$ The time $($in hours$)$ each employee takes to complete each task is given in the table below:

$\backslash$table$[[$Employees$,$Tasks$],[$T$1,$T$2,$T$3,$T$4,],[$E$1,5,2,7,3,],[$E$2,8,6,4,2,],[$E$3,3,9,1,5,],[$E$4,2,4,6,8,]]$

Formulate this problem to find the optimal assignment that minimizes the total time. $(9$ marks$)$