Step 1: Understand the mixed economy.
In a mixed economy, both the government and the private sector participate in decision-making related to production and consumption. The government has a role in regulating and guiding the economy while allowing the private sector to operate freely in areas such as market exchange.
Step 2: Role of central and state governments.
Both central and state governments make decisions related to the production and consumption of goods and services in a mixed economy, ensuring a balance between public and private interests.
Step 3: Conclusion.
Thus, the correct answer is (C) the Central and State governments, both.
Final Answer:
\[
\boxed{\text{The Central and State governments, both.}}
\]