there are different techniques to find the optimum value of biodiesel numerical graphical point prediction. Optimum conditions are predicted by applying numerical optimization of des using RSM as shows in table 10. optimization criteria were set for all variables including independent variables and the response. the goal of the optimization for the response was to maximize %FAME. its lower limit was set to 96.5 . the optimum values for producing maximum %FAME was found as 2.71 of catalyst.