2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93390The author studies the Cramer-Rao type bound by a linear programming approach. By this approach, he found a necessary and sufficient condition that the Cramer-Rao type bound is attained by a random measurement. In a spin 1/2 system, this condition is satisfied.LaTeX, 27 pages, submitted to Journal Mathematical PhysicsQuantum PhysicsA Linear Programming Approach to Attainable Cramer-Rao type Bounds and Randomness Conditiontext