1# Checks (P4)2| check | outcome |3|---|---|4| Reproducibility: delete results.json, rerun analysis.py, SHA-256 identical (9cbb54bd...) | PASS |5| Closed form vs. independent brentq root of z1(p) on [1e-6,1e6]: abs diff = 1.1e-16 (price_abs_diff_closed_vs_numerical) | PASS |6| Market clearing good 1: excess_demand_good1 = 0.0; x1_A+x1_B = 4.1142857+7.8857143 = 12 | PASS |7| Market clearing good 2: excess_demand_good2 = 0.0; x2_A+x2_B = 5.4+4.6 = 10 | PASS |8| Walras' law at equilibrium: walras_law_residual = 0.0; off-equilibrium max |p z1 + z2| over p in [0.1,10] = 7.1e-15 | PASS |9| Hand derivation: p = (0.4*2+0.6*8)/(0.6*8+0.4*4) = 5.6/6.4 = 0.875 | PASS |10| Budget constraints: A: 0.875*4.1143+5.4 = 9 = 0.875*8+2; B: 0.875*7.8857+4.6 = 11.5 = 0.875*4+8 | PASS |11| Positivity: p>0, all x>0 | PASS |12| Exclusions: n_raw 2 - removed 0 = n_analysed 2 | PASS |13| Aggregate endowment consistency vs summary sheet | FAIL for good1 (14 vs 12) -> handled, reported in data_issues |14