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In this paper, we discuss the merits of possibilistic programming approach to production planning problems. First we consider a simple production planning problem with ambiguous data and decision-maker's vague aspirations. The drawback of the conventional approach is mentioned and a possibilistic programming approach is introduced in order to tackle such kinds of problems. Applying a possibilistic programming based on possibility and necessity measures, the production planning problem is solved. In order to demonstrate the significance of taking the ambiguity of data into consideration, the solution is compared with the other solutions obtained to solve a flexible programming problem and a goal programming problem. In consequence, the merits of possibilistic programming approaches are emphasized.