The inventory system has been affected by many characteristics, among which deterioration of a food product is a critical issue. Chilled foods deteriorate during storage time, and their quality reduces over time. Indian Spiced Pulled Pork Sandwiches are very observable customer goods in India that are, in fact, unpreserved. If chilled foods' original value reduces over time, consumers are not much likely to buy them. The retail price of chilled food maintained is strictly dependent on its quality. From the vendor's approach, measuring quality and leftover value should be a severe commercial issue. The model aims to study deterioration together with the quality prediction of Indian Spiced Pulled Pork Sandwiches. This model measures food quality and leftover value. Deterioration rate is considered a function of two-parameter Weibull distribution suitable for bacterial inactivation, microbial growth, enzymes, nutrients, and pigments dreadful environments under a non-isothermal atmosphere. The dynamic structure of demand has its importance in business. The price-storage time of product-dependent demand rate is debated in this model as demand rarely remains constant. The objective is to maximize the vendor's total profit concerning storage time and the product's selling price. A numerical example supports the model. Sensitivity analysis is carried out to derive insights for decision-makers. The graphical result, in three dimensions, is exhibited with a supervisory decision.