Step 1: Recall profit maximisation condition.
- A firm maximises profit where \(MR = MC\). In perfect competition, \(MR = P\). Thus, profit maximisation requires \(P = MC\).
- The short run MC curve must be rising (non-decreasing) at equilibrium to ensure maximum, not minimum.
- The firm must cover at least AVC in the short run to continue production, i.e., \(P \geq AVC\).
Step 2: Evaluate statements.
- (A) Correct → \(P = MC\).
- (B) Correct → MC curve should be upward sloping.
- (C) Incorrect → Profit maximisation requires equality, not \(P \leq MC\).
- (D) Correct → Condition to continue production in the short run.
Step 3: Conclusion.
Thus, correct set is (A), (B), (D).
Final Answer:
\[
\boxed{(A), (B), (D)}
\]