Question $27(1$ point$)$

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 $$4\mathrm{.}00$ per case, and profits for the sassafras soda are $$6\mathrm{.}00$ per case. The firm's goal is to maximize profits.

What is the objective function?

$P=4R6S$

$P=3R2S$

$P=2R3S$

$P=5R5S$

$P=6R4S$