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We consider the minimization of long-term average power consumption for data transmission from a mobile station to the base station, with the joint packet loss at both physical and MAC layers being constrained below the given value. The problem is formulated as an infinite horizon constrained Markov decision problem and solved by linear programming method. Simulations firmly verify the correctness of the proposed solution. Besides, we comment on the determination of power level applied to each adaptive transmission mode, and show that enlarging the range of performance levels offered by different transmission modes can further improve the optimal solution.