This study aims to analyze the accomplishment of cutting performance in hot abrasive jet machining (HAJM) of hardstone quartz concerning surface roughness, taper angle, and material removal rate. Fifteen sets of experimental trials were conducted by considering three cutting parameters (air pressure, abrasive temperature, standoff-distance) based on Box-Behnken's design of experiments. Additionally, response surface methodology, analysis of variance, and statistical technique (here, desirability function approach) followed by computational approach (here, genetic algorithm) are, respectively, employed for experimental investigation, predictive modeling, and multi-response optimization. Thereafter, the effectiveness of proposed two multi-objective optimization techniques is evaluated by confirmation test and subsequently, the best optimal solution is used for cost analysis to rationalize the usefulness of hot abrasives in AJM process with an intension to raise the awareness in the manufacturing industry. Based on results, application of hot abrasives in AJM process has shown an attention in enhancing the cutting performance for material removal.