In this paper, we developed a linear programming model to determine the volume of vessels that will give an optimal return on investment. The solution to the developed model was carried out using the Interior Point algorithm with the help of the MATLAB package. The analysis shows that the production and transporting of the LNG with a vessel of capacity 178,5006m3 would give an optimal profit of 633,640 million USD. And from the results of the analysis, we observed that the decision to take the maximum modern capacity instead of lower capacities yields the highest profit.