Each must be processed through two work areas. Work area $1$ has $60$ hours of available production time. Work area $2$ has $48$ hours of available production time. Manufacturing of a door requires $4$ hours in work area and $2$ hours in work area #$2.$ Manufacturing of a window requires $2$ hours in work area and $4$ hours in work area #$2.$ Profit is $$8$ per door and $6$ per window. Develop the Model