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The utilization of land in Sumbawa District to produce corn will effect cutting trees new land fields It-s not paddi field . It has effect on environment. Those such as lack of water in ground, flood, and soon. Henceforth this research aim at making optimation model cutting tree for new land could enhance the productivity of corn and making appropriate model to optimalize of farmets benefit by using simplex methode. Based on simplex counting, it-s needed 21.618 and 77.873 Ha paddy field and non paddy field to plant corn in order to increase corn harvest. To boost farner-s benefit, they harvest 672609 tonas follows, 434.001 ton of corn by 15% of water content, 46.182 ton of corn by 20% of water content and 192.426 ton of corn by 25% of water content.