This paper analyzes the fundamental tradeoff between the total power consumption and the downlink capacity in an interference limited LTE network. In order to achieve significant energy savings, a re-deployment of the cell-sites is needed. The paper employs a novel power consumption and capacity tradeoff to assist the process of re-deployment and show that up to 75% energy can be saved. The implication of this paper's results has a significant impact both on commercial revenue and the environment by reducing up to 24 power plants world wide.