... sample sizes (n,m) and randomization parameters (x,y) for the producer and the supplier that meet risk constraints on both type I and II risks may thus require extensive analysis and in some cases ... Proposition 8.6. Let ()(),, , ,, , 1, 2 and , , 1, 2pi pi S j S jijαβ αβ== be type I and II and risks of a producer and a supplier engaged in mutual (and conflicting) binomial sampling-controls ... the producer and the supplier are .56 and .72 respectively while the average type II risks for each are .308 and .514. The average type II risk, equally shared by the producer and the supplier,...