The main objective of this paper is to manage groundwater resources in such a way that remains compatible with the safe yield of this resource. The calculations were based on information available on water supplies, areas under irrigation and market conditions. Linear programming models were used for determining solutions that maximize the total net income. Results showed that there is a potential to decrease water consumption and to reallocate it in an optimal way and to increase the net income of agriculture in the study area. The water demand from agriculture reacts to increasing water prices in a quite elastic manner over a long interval, while it was inelastic in the case of decrease the overall water supply by 15percent.