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In this paper, we work on maximizing the capacity of the reverse link of a CDMA wireless network. Oh and Soong (2006) presented an information-theoretic capacity model for analyzing this system. That formulation produces solutions that often result in unfairness allocation of power to most users. Here, we propose the addition of a maximum capacity constraint into the problem, thereby creating a more fair power allocation scheme. First, we improve on the algorithm presented in (Oh and Soong, 2006) by proposing a closed form solution and an algorithm which works nine times faster. Then, we propose a closed form algorithm for solving the new enhanced problem.