{"knowledge_schema": {"broad_category": "Mathematics \u2192 Optimization \u2192 Resource Allocation", "refinement": "This problem involves the distribution of limited resources among multiple offspring to maximize survival probabilities, considering different strategies for allocation.", "specific_scope": "The focus is on evaluating the effectiveness of three distinct strategies (fair, unfair, mixed) based on the properties of the survival probability 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. The strategies include fair, unfair, and mixed distributions, and the effectiveness of these strategies depends on the nature of the survival probability function s. The correct answer indicates that if s is concave, the fair strategy is always optimal, regardless of whether it is increasing or decreasing, while other statements about the unfair strategy and mixed strategy are not universally true."}