1[2 {"id":"C1","text":"The equilibrium relative price p1/p2 is 0.875, and independent root-finding of z1(p) reproduces it to machine precision.","results_keys":["price_ratio_p1_over_p2","price_ratio_numerical","abs_diff_closed_form_vs_numerical"],"status":"supported","caveat":"Conditional on using the sum of individual endowments (12) for good 1."},3 {"id":"C2","text":"Equilibrium allocation: A consumes (4.1143, 5.4) and B consumes (7.8857, 4.6).","results_keys":["x1_A","x2_A","x1_B","x2_B"],"status":"supported","caveat":"Interior Cobb-Douglas demands assumed."},4 {"id":"C3","text":"Markets clear and Walras' law holds: excess demands and the Walras residual are zero.","results_keys":["excess_demand_good1","excess_demand_good2","walras_law_residual","aggregate_endowment_good1","aggregate_endowment_good2"],"status":"supported","caveat":"Zero to floating-point precision."},5 {"id":"C4","text":"The recorded aggregate endowment of good 1 (14) conflicts with the individual endowments (12). Using 14 would give a root of 0.6667, which is not an equilibrium of this economy.","results_keys":["data_issues","diagnostic_price_if_recorded_aggregate_used"],"status":"supported","caveat":"Resolution relies on endowments.csv being the primary source, as TASK.md states."}6]7