Recompute the Certificate

Honest Sensitivity Scope

The final lesson states the boundary plainly: RHS sensitivity is exact local certificate arithmetic, not a global promise about every perturbation.

highlighted = computed this step

Inside ledger

The base value is 8/3 and the inside-range value is 3. Why: both rows use the same first shadow price, 1/3.

inside range keeps the same price\text{inside range keeps the same price}
Sensitivity scope ledgerThe table separates the local shadow-price range from the recomputed outside case.scope ledgerzfirst pricebase8/31/3inside31/3outside40

Outside ledger

The outside-range value is 4 and the recomputed first price is 0. Interpretation: the old local price is no longer the certificate.

outside range gets recomputed\text{outside range gets recomputed}
Sensitivity scope ledgerThe table separates the local shadow-price range from the recomputed outside case.scope ledgerzfirst pricebase8/31/3inside31/3outside40

Honesty boundary

RHS sensitivity is local: the shadow-price prediction is exact while the same basis remains primal feasible and dual feasible. Outside that range, the LP must be recomputed. The arithmetic is exact, but the conclusion is local to this pinned LP and its active basis. Pixel positions are rounded for layout; every number shown is exact.

sensitivity is local certificate arithmetic\text{sensitivity is local certificate arithmetic}
Sensitivity scope ledgerThe table separates the local shadow-price range from the recomputed outside case.scope ledgerzfirst pricebase8/31/3inside31/3outside40