<p>This paper puts forth an exhaustive inventory model customized for motor-driven domestic appliances, incorporating key aspects of contemporary manufacturing and market dynamics. The model treats demand as a multi-dimensional function of selling price, product quality, and delivery time three factors critical to consumer choice in the durable appliance industry. The manufacturing process includes intelligent manufacturing methodologies facilitated through automation, improving accuracy and reaction time. To reflect the real-world realities of stockouts, the model considers various types of shortages-partial backordering and full lost sales-and enables manufacturers and retailers to match inventory plans with customer service objectives. Fuzzy logic is employed to reflect real world ambiguity in parameters like demand rate, cost structure and environmental implication. The model further incorporates carbon emission costs, positioning it for sustainability focused firms. A nonlinear mathematical model is constructed and solved with numerical examples based on the nature of motor driven appliance manufacturing. Sensitivity analysis investigates how profit and service level are affected by pricing mechanisms, automation expenditure, and environmental expenses. The results provide practical recommendations for balancing cost effectiveness, customer satisfaction, and eco-friendliness in the home appliance sector.</p>