The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer $(R)$ and sassafras soda $(S).$ There are at most $12$ hours per day of production time and $1,500$ gallons per day of carbonated water available. 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. The firm's goal is to maximize profits.

Which of the following is not a feasible solution?

$(R,S)=(0,0)$

$(R,S)=(180,240)$

$(R,S)=(300,0)$

$(R,S)=(180,120)$

$(R,S)=(0,240)$