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

This study applied Linear Programming model to Kapatagan farming system that make use of the annual three-crop succession. It provides different alternatives for the farmers on the different three-crop succession in terms of efficient allocation of agricultural resources such as land, labor and capital. The objective of the linear programming model was to maximize the annual profit of financed Kapatagan farmers which have limited agricultural resources such as land, labor and capital. The model was implemented with specific bounds and constraints. Constraints for the model were the working capital land and labor requirements for each season. Estimation of the available amount of each constraint was done among the maximum amount in the left hand side of the three-crop per season. Capital for the three crops for each season was assumed to be borrowed from the financiers with 10 percent monthly interest. Land use for planting these three crops for each season was restricted to be utmost to a hectare. Further, each crop would be planted in utmost one-fourth of a hectare. A total of thirty-eight (38) three crop successions were enumerated and pest constraint management was considered. Each of the succession was evaluated using linear programming software. Corn was the least profitable crop and successions that include this crop yielded a relatively low profit. On the other hand, cabbage and potato were the most profitable crops and successions that include these crops has relatively high in profit. Less profitable crop like corn and carrot, should be combined with these crops o gave a higher profit. In general, only five successions gave yields equivalent to an annual profit of below PhP60,000.00