Final answer:
The reticular formation and the limbic system are associated with maintaining alertness in the cerebral cortex, with the reticular formation being the primary area responsible for wakefulness.
Step-by-step explanation:
The brain area(s) associated with maintaining alertness of the cerebral cortex are the reticular formation and to a certain extent, the limbic system. The reticular formation is a network of neurons located in the brainstem that is vital for controlling arousal and consciousness. It plays a key role in maintaining alertness and wakefulness by regulating the sleep-wake cycle.
The limbic system, which comprises various structures such as the amygdala and hippocampus, also has a role in regulating attention and emotions, which can contribute to alertness, although it is not the primary system for maintaining wakefulness. Therefore, the correct answers are b (reticular formation) and e (limbic system).