Step 1: Recall the relationship between AC and MC.
- When \(MC<AC\), average cost decreases.
- When \(MC>AC\), average cost increases.
- When \(MC = AC\), average cost is at its minimum point.
Step 2: Apply to the question.
The marginal cost curve always cuts the average cost curve at its minimum point.
Final Answer:
\[
\boxed{\text{At minimum point of average cost curve.}}
\]