2024 Mock AMC 12 - Problem 6

Sandy is a zookeeper in charge of the monkey enclosures. She has three types of monkeys: red, green, and blue. Blue monkeys are aggressive towards other blue monkeys, red monkeys are aggressive towards any non-red monkey, green monkeys are neutral, and if any monkey is aggressive towards another, they will attack and start a fight. Given that Sandy has at least one of each monkey, what is the maximum amount of blue monkeys Sandy can own such that they can be placed into 2024 enclosures without any fights breaking out?

\textbf{(A) }2023\qquad\textbf{(B) }2024\qquad\textbf{(C) }4048\qquad\textbf{(D) }8096\qquad\textbf{(E) }\text{Sandy can own an infinite amount of blue monkeys}