In this study, we have considered the three dimensional mixed ferro-ferrimagnetic ternary alloy model of the type AB(p)C(1-p) where the A and X (X=B or C) ions are alternately connected and have different Ising spins S-A=3/2, S-B=1 and S-C=5/2, respectively. We have investigated the dependence of the critical and compensation temperatures of the model on concentration and interaction parameters by using MC simulation method. We have shown that the behavior of the critical temperature and the existence of compensation points strongly depend on interaction and concentration parameters. In particular, we have found that the critical temperature of the model is independent on concentration of different types of spins at a special interaction value and the model has one or two compensation temperature points in a certain range of values of the concentration of the different spins. (C) 2009 Elsevier B.V. All rights reserved.