Bee Cee, the manager of Camp Sawi, must assign her five head counselors to cabins for the summer. The counselors have cabin assignment preferences $($based on cabin size, location, condition and other factors$).$ The counselor's cabin preference ratings on a $1-$to$-9$ scale $(9$ being most favorable$)$ are shown in the table. Bee wants to make the counselor$-$cabin assignment that will maximize the sum of the preference ratings achieved. Formulate this problem as a linear programming problem to help Bee make the counselor$-$cabin assignment that will maximize the sum of the preference ratings achieved.