The usage of renewable energy has emerged as a promising solution for reducing the grid energy consumption of cellular networks. In this paper, we study the trade-off of users' satisfaction and grid energy consumption considering different types of traffic. Users' satisfaction of each type of traffic is rep- resented by a utility function, as this allows for a better trade-off between energy consumption and users' satisfaction. The problem is formulated as a weighted sum of two objectives, power demand and average users utility. Then, we study the users' satisfaction and power demand considering two types of schedulers. Finally, we study the trade-off between grid energy consumption and users' satisfaction for different weightage of each of the two objectives. Results show that grid energy consumption can be reduced of up to 40% with only 6% degradation in terms of users' satisfaction.