Consider a decision problem with decisions A B and C We have

Consider a decision problem with decisions A, B and C. We have determined for two unknown probabilities p and q the following relationships Relationship 1 (Rel 1): A is preferred to B if q > 0.7p + 0.1 Relationship 2 (Rel 2): A is preferred to C if q > 1.2*(0.01 + p) / (0.1 + p) - 0.3 Relationship 3 (Rel 3): B is preferred to C if q < 2p - 0.5