Interaction between anti-cancer agents and various modulators of multidrug resistance in producing their joint effects are of fundamental interest in the chemtherapeutic treatment of cancer. We generate a dose-response curve for each combination of several anti-cancer agents and modulators based on an in-vitro experiment on each of several human cancer cell lines. We employ a log-linear model developed by Wahrendorf et al (1981) and Piegorsch et al (1988) to detect synergism among several compounds. We show two examples of the data analysis and their results. We believe that these results encourage further experiment in-vivo studies.