The production manager for Beer etc. produces $2$ kinds of beer: light $($L$)$ and dark $($D$).$ Two resources used to produce beer are malt and wheat. He can obtain at most $4800$ oz of malt per week and at most $3200$ oz of wheat per week, respectively. Each bottle of light beer requires $12oz$ of malt and $4oz$ of wheat, while a bottle of dark beer uses $8oz$ of malt $8oz$ of wheat. Profits for light beer are $$2$ per bottle, and profits for dark beer are $$1$ per bottle. What is the optimal weekly profit?

$$1000$

$$900$

$$800$

$$700$

$$600$

none of the above