An AI network has 512 processing nodes. Every week, 12.5% of inactive nodes are reactivated due to optimization, and 8 new nodes are added. Starting with 400 active and 112 inactive, how many active nodes are there after 2 weeks?

Fri, 01 May 2026 08:44:51 +0000

**How an AI Network’s Smart Optimization Is Shaping Digital Infrastructure in the US** Could a network of 512 powerful AI processing nodes become the quiet backbone of the next wave of digital innovation? The answer lies not in hype—but in measurable optimization. Every week, AI infrastructure evolves through subtle but impactful updates—reactivating dormant nodes, integrating fresh computational capacity, and scaling efficiently. In the United States, where digital efficiency drives everything from smart services to business scalability, such refinements matter. The An AI network’s 512 nodes represent a carefully managed ecosystem, dynamically adjusting to maintain performance without extra hardware. As tech users grow more conscious of reliability and uptime, understanding how these systems self-optimize offers valuable insight into the stability behind modern AI networks. The An AI network’s 512 processing nodes undergo weekly recalibration, balancing reactivation of dormant nodes with steady expansion. Starting with 400 active and 112 inactive, the system reintegrates 12.5% of inactive nodes—efficiently reviving slumbering processors through targeted optimization. Each week, 8 new nodes join the active pool, steadily increasing capacity. This dual mechanism—reviving what was quiet and adding fresh strength—ensures resilience in dynamic digital environments. For US-based tech and enterprise users, this illustrates how intelligent systems adapt without constant replacement, offering long-term sustainability. So how do numbers shift in just two weeks?
Week 1:
12.5% of 112 inactive nodes reactivate → 14 nodes return online (rounded for clarity)
Add 8 new nodes → active nodes = 400 + 14 + 8 = 422
Week 2:
12.5% of remaining 90 inactive nodes reactivate → 11 nodes reactivated
Add 8 more new nodes → active nodes = 422 + 11 + 8 = 441