Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2005

A nonpreemptive goal programming (GP) model was developed on two-crop successions under limited resource conditions for self-financed farmers in Kapatagan. The GP model considered three goals such as minimizes the working capital, maximizes the profit and maximizes the family labor of the farmers with respect to the land allocation of two crops in three seasons. The model was flexible enough that the decision maker could assign the target goals and the weight on each goal. Crops considered were cabbage, carrots, Chinese cabbage, corn, potato and tomato. There were 115 successions identified using a program in Mathematica software that considered pest management constraints. The GP model was implemented to all successions with Php200,000 profit goal, 250 family labor days and having variations in working capital goals such as Php15,000.00, Php35,000.00, Php50,000.00 and Php75,000.00 and were solved using the Linear Programming software. All the successions did not satisfy the working capital goals of Php15,000.00 and Php35,000.00. However most of the successions satisfied the goals when it was increased to working capital goals of Php50,000.00 and Php75,000.00. in general, a minimum working capital of Php43,840.012 is needed to start a one year crop succession activity. On land allocation, the most profitable crop was always allotted more land area compared to the less profitable crop. When properly disseminated, the GP model that was developed could help the Kapatagan farmers in deciding the proper allocation of their agricultural resources to meet their farm production.