Backend Engineer signal: dynamic programming + knapsack in a tenant rate limits context. This is a ProdMatch-owned backend engineer drill, framed as a March 2026 Yellow.ai API Gateway simulation, not a copied platform question.
Company context
Yellow.ai · API Gateway
Freshness
March 2026
Product surface
tenant rate limits
ProdMatch interview simulation based on product-team patterns; not a claim of a real company question.
Your API Gateway roadmap has candidate improvements for tenant rate limits. Each improvement has cost, lift and risk. Maximize lift under budget while keeping total risk below a threshold.
Input
Output
Constraints
Concepts
items [[2,5,1],[4,9,4]], budget=4, risk=4 -> 9
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