Statement:

A commercial furniture factory reduced its daily production shifts due to a decline in customer orders.

Inferences:

I. The factory is experiencing a drop in total transaction volume.

II. Workers at the facility will be permanently laid off.

III. The level of market demand has diminished.

The correct answer is Both I and III.

Step-by-Step Explanation:

1. Understanding the Statement:
The statement mentions that a commercial furniture factory reduced its daily production shifts due to a decline in customer orders.

2. Evaluating Inference I:
"The factory is experiencing a drop in total transaction volume."
A decline in customer orders directly implies that fewer orders/purchases are being made. This reduction in sales activities represents a drop in total transaction volume. Therefore, Inference I logically follows from the statement.

3. Evaluating Inference II:
"Workers at the facility will be permanently laid off."
While production shifts have been reduced, this does not automatically mean workers will be permanently terminated or laid off. The reduction could be managed through reduced hours, temporary furloughs, or shift adjustments. Thus, Inference II is an overextension and does not necessarily follow.

4. Evaluating Inference III:
"The level of market demand has diminished."
Customer orders are a direct reflection of market demand for the furniture factory's products. A decline in customer orders directly indicates that market demand for their products has decreased. Therefore, Inference III logically follows from the statement.

Conclusion:
Since both Inference I and Inference III logically follow from the given statement, the correct answer is Both I and III.