<p>The proposed study concludes by examining how investments in carbon emissions reduction and preservation technology may impact inventory systems, aiming to sustain the environment while maximizing retailer profits. A linear demand inventory model is analyzed under three different scenarios: (1) when carbon emissions reduction and preservation technology investments are aligned; (2) when neither carbon emissions reduction nor preservation technology is implemented; and (3) when only preservation technology is utilized. Additionally, specific case studies and sensitivity analyses were conducted to observe the distinct effects of these factors on profit, inventory levels, and backlog orders, especially in the face of changing demand patterns. It supports the existing carbon emissions model. The proposed study discusses a mathematical framework, including relevant theorems, the concavity of the profit function, numerical analyses, calculations of the Hessian matrix, and illustrative figures. Ultimately, the proposed model assists retailers in simultaneously achieving maximum profits and promoting environmental sustainability.</p>