The production planner for a paint company is planning the production of two new paint colors: Rustic Red (R) and Simply Sapphire (S). There are at most 13 hours per day of production time and 1,400 gallons per day of base paint available. A lot of Rustic Red requires 2 minutes of time and 5 gallons of base paint to produce, while a lot of Simply Sapphire requires 3 minutes of time and 5 gallons of base paint to produce. Profits for Rustic Red are $5.00 per lot, and profits for Simply Sapphire are $4.00 per lot. The firm's goal is to maximize profits.
Which of the following gives the firm's profits?
P = 4R + 5S
P = 3R + 2S
P = 2R + 3S
P = 5R + 4S