Initial scaffold: AI Tycoon monorepo with core game loop

Turborepo monorepo with three packages:
- packages/shared: TypeScript types for all 14 game systems + balance constants + formatting utils
- packages/game-engine: Pure TS simulation engine with tick processor, economy, infrastructure, compute, research, market, and reputation systems
- apps/web: React + Vite + Tailwind + Zustand frontend with sidebar dashboard layout, new game screen, dashboard with charts, infrastructure management, and model training pages

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

packages/game-engine/src/systems/computeSystem.ts

@@ -0,0 +1,24 @@
+import type { GameState, ComputeState, InfrastructureState } from '@ai-tycoon/shared';
+
+export function processCompute(state: GameState, infrastructure: InfrastructureState): ComputeState {
+  const totalFlops = infrastructure.totalFlops;
+  const trainingAllocation = state.compute.trainingAllocation;
+  const inferenceAllocation = 1 - trainingAllocation;
+
+  const inferenceFlops = totalFlops * inferenceAllocation;
+  const tokensPerSecondCapacity = inferenceFlops * 10;
+
+  const tokensPerSecondDemand = state.compute.tokensPerSecondDemand;
+  const inferenceUtilization = tokensPerSecondCapacity > 0
+    ? Math.min(1, tokensPerSecondDemand / tokensPerSecondCapacity)
+    : 0;
+
+  return {
+    totalFlops,
+    trainingAllocation,
+    inferenceAllocation,
+    inferenceUtilization,
+    tokensPerSecondCapacity,
+    tokensPerSecondDemand,
+  };
+}