In this paper deals with an production inventory model without shortages in a fuzzy environment with fuzzy constraints for crisp production quantity or for fuzzy production quantity are rooted in fuzzy inventory management . We have applied graded mean method for defuzzifying the fuzzy general production inventory cost in trapezoidal fuzzy numbers. The aim of our work is to find optimal solution of these models by using Lagrangean method and Kuhn-tucker method finally a numerical example explained to show the uniqueness obtained in both crisp and fuzzy inventory model.