Step 1: Understanding the Question:
We need to name the two cities where the Central Government's approved factories for processing opium alkaloids are located.
Step 2: Key Concept:
In India, raw opium collected from licensed poppy cultivation is sent to government-run alkaloid works for processing into morphine, codeine, thebaine, and related compounds, under the control of the Central Bureau of Narcotics.
Step 3: Detailed Explanation:
These Government Opium and Alkaloid Works are set up at Ghazipur in Uttar Pradesh and Neemuch in Madhya Pradesh. Both sites are close to the major poppy-growing regions of Uttar Pradesh, Madhya Pradesh, and Rajasthan, which keeps transport of the raw, bulky opium gum to a minimum before it is refined into purified alkaloids.
Step 4: Final Answer:
The Central Government's approved opium alkaloid processing factories are at Neemuch and Ghazipur.