{"knowledge_schema": {"broad_category": "Mathematics \u2192 Optimization \u2192 Resource Allocation", "refinement": "This problem involves maximizing the expected survival of offspring by distributing limited resources among them based on a survival probability function.", "specific_scope": "The focus is on evaluating different strategies for resource distribution (fair, unfair, mixed) based on the properties of the survival function s.", "goal": "Determine which statements about the optimal resource distribution strategy are true based on the characteristics of the function s."}, "summary": "This problem examines how a mother bird should optimally distribute limited resources among her offspring to maximize their survival probabilities, given different strategies (fair, unfair, mixed) and the nature of the survival function s. The statements provided evaluate the effectiveness of these strategies under various conditions of the function s, such as being strictly increasing, decreasing, concave, or convex. The goal is to identify which statements accurately reflect the optimal strategy based on the characteristics of s."}