Answer: Child-Pugh score.
Step 1: The picture shows a cirrhotic liver. The question asks for the bedside prognostic system for chronic liver disease.
Step 2: The Child-Pugh score (Child-Turcotte-Pugh) uses five variables: serum bilirubin, serum albumin, prothrombin time/INR, ascites and hepatic encephalopathy. Each scores 1 to 3 points, giving Class A (5-6), B (7-9) or C (10-15) with worsening survival. It guides prognosis and the need for transplantation.
Step 3: Why not the others. MELD score also estimates cirrhosis mortality and prioritises transplant listing, but Child-Pugh is the classic answer asked here for prognosis classification. Milan criteria select hepatocellular carcinoma patients for transplant, not general cirrhosis prognosis. Alvarado score is for acute appendicitis and is unrelated.
Hence Child-Pugh is correct.
Ref: Harrison's Principles of Internal Medicine, 20e.