The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer $($R$)$ and sassafras soda $($S$).$ Two resources are constrained: production time $($T$),$ of which she has at most $12$ hours per day; and carbonated water $($W$),$ of which she can get at most $1500$ gallons per day. A case of root beer requires $2$ minutes of time and $5$ gallons of water to produce, while a case of sassafras soda requires $3$ minutes of time and $5$ gallons of water. Profits for the root beer are $$6\mathrm{.}00$ per case, and profits for the sassafras soda are $$4\mathrm{.}00$ per case. Which of the following is not a feasible production combination? What are optimal daily profits?