Under the Han, the salt and iron industries were

A. privately owned.
B. dominated by foreign merchants.
C. run as state monopolies.
D. allowed to fall into ruin.

To answer this question, we need to understand the historical context of the Han Dynasty and the role of the salt and iron industries during that period.

The Han Dynasty was a ruling dynasty in China that lasted from 206 BCE to 220 CE. During this time, the government had significant control over the economy and implemented various economic policies.

In the case of the salt and iron industries, these were primarily run as state monopolies under the Han Dynasty. This means that the government held a monopoly over the production, distribution, and sale of salt and iron. The state controlled the entire process, from production to pricing, and individuals or private entities were not allowed to engage in these industries independently.

Based on this information, the correct answer to the question is:

C. run as state monopolies.

Therefore, under the Han Dynasty, the salt and iron industries were predominantly controlled and operated by the state as monopolies.