Final answer:
The question seems to confuse dorsal CN output, as the major outputs of the CNS come from the ventral side. The cervical and lumbar enlargements of the spinal cord manage limb functions due to their larger populations of neurons.
Step-by-step explanation:
The dorsal CN (cranial nerve) refers to the sensory roots associated with the spinal cord that bring sensory information into the CNS. However, it appears there might be some confusion in the question regarding the actual output from the dorsal region of the CNS. Big product coming out is not a commonly used term in neuroscience, but in the context of the spinal cord, the major output comes from the ventral (anterior) side, not the dorsal (posterior).
The ventral horn of the spinal cord is the region where the motor neurons responsible for muscle contraction (somatic nervous system output) are located. The cervical and lumbar enlargements of the spinal cord are due to a larger population of neurons in these regions, and they are responsible for controlling the movements and sensations of the limbs, which require more complex neural circuitry due to the fine motor skills of the hands and feet.