The Cheery Cherry Chair Company makes three types of chairs, the Montegue, the Capulet, and the Verona. Each chair requires assembly, finishing, and a certain amount of wood to make. The assembly area can be used for at most 7 hours per day. To keep him busy, the finishing person needs to work at least 6 hours per day. Producing a Monteguerequires 1 hour of assembly, 2 hour of finishing, and 6 board feet of wood. Producing a Capulet requires 1 hour of assembly, 1 hour of finishing, and 6 board feet of wood. Finally, producing a Verona requires 2 hour of assembly, 1 hour of finishing, and 2 board feet of wood. If the company wants to minimize the amount of cherry wood used, how many should they make of each model? (It is possible to complete a fractional part a chair in a given day; in the long run you end up with completed chairs.)

Number of Montegues =
Number of Capulets =
Number of Veronas =

How many board feet of cherry wood would be used each day?