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.

What is the objective function?

Multiple Choice

$P=4R+6S$

$P=2R+3S$

$P=3R+2S$

$P=6R+4S$

$P=5R+5S$