Question

Where are neurotransmitters made?

Answer 1

In the cell body of the neuron or the presynaptic terminal.

Explanation:

The synthesis of small-molecule neurotransmitters occurs within presynaptic terminal, and neuropeptides (the larger of the two) are synthesized in the cell body.

Image courtesy of the NIH.

University of Washington has some great information on it, as does Williams.