In this note, we reviewed a popular paper of Li that published in Journal of Computer and System Sciences 70 (2005) 73-85. His paper had been referred more than two hundred and twenty six times. Based on the high citation, a detailed examination of his paper is necessary. We pointed out that the core of his solution method is merged two maximum problems into one which have the same constraints. We provided a counter example to reveal that his merge is questionable so that his proposed maximum problem needs revision. Moreover, we offered a possible outlet for his original two maximum problems.