The processing time $($in minutes$)$ taken by $5$ operators to make $5$ different products are given below. The effective working hours in a day is $6$ hours.

$\backslash$table$[[\backslash$table$[[$Oper$-],[$ators$]],$Products$],[1,2,3,4,5],[$A$,10,12,18,15,09],[$B$,12,10,20,18,10],[$C$,08,09,15,10,08],[$D$,09,08,24,12,12],[$E$,10,15,18,12,10]]$

The profits $($Rs$)$ per product for $1,2,3,4$ and $5$ are $4,2,3,3$ and $4$ respectively. Find out the allocation of operators to products in order to maximize total profit.