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The base stations of modern mobile access networks do not only provide high data rates but also consume large and barely varying amounts of power. When the load on the network is low it consumes much more power than necessary. We answer the question of how much power can be conserved in mobile access networks when some base stations use cooperative transmissions to extend their range while others are deactivated. In addition, we analyze the effect of different path-loss exponents and varying number of cooperating base stations. First, we analytically show how it is possible to cover an area with fewer base stations when their range is extended by cooperation. Second, we create and solve an optimization model that describes the power necessary to cover a given area. The analytical results show that the area a base station covers can be significantly increased when cooperative transmissions are introduced. The optimization model shows us that only a few base stations need to cooperate to significantly reduce the power consumption. Both models show that scenarios with a low path-loss exponent are best suited to conserve power by cooperation. We conclude that it is reasonable to let a small number of base stations cooperate to reduce the overall power consumption of mobile access networks when the load is low.