This paper outlines, first, a compromise linear programming (LP) having fuzzy objective function coefficients (CLPFOFC) and thereafter, a real-world industrial problem for product-mix selection involving 29 constraints and 8 variables is solved using CLPFOFC. This problem occurs in production planning management in which a decision-maker (DM) plays a pivotal role in making decision under a highly fuzzy environment. Authors have tried to find a solution that is flexible as well as robust for the DM to make an eclectic decision under real-time fuzzy environment. © 2006 by World Scientific Publishing Co. Pte. Ltd.