In this paper, an optimization model was formulated to maximize profit from cultivation while satisfying several factors like cropping area, irrigation water supply, cropping cycle, market demand. The model was applied at Kalihati, Tangail, Bangladesh for the Agricultural year 2012- 2013. The cropping area available at the location was 17750 hectors and maximum irrigation water available was 1267983700 cubic meter. The crops selected for the model were most traditional for the studied area and produced in large proportions compared to others. The model provided optimum value for cropping area and irrigation water depth that maximize the objective function.