<p>Carbon emissions from human activities are a significant contributor to global warming. However, the use of green technologies can reduce this effect. Therefore, this paper examines a preservation technology investment within a sustainable production model that incorporates a carbon tax policy and green technology to address environmental issues. It also combines variable carrying costs with the demand that depends on the selling price, incorporating inflation. Due to their high uncertainty, the research views several variables, such as holding costs, deteriorating costs, and demand, as fuzzy parameters. The model developed is defuzzified by using the centroid method. Using cycle time and green investment as decision variables, the goal is to minimize overall cost using classical optimization. An analysis of a numerical example is given in a crisp and fuzzy approach to verify and validate the production model. The results of the numerical study show that the fuzzy total cost is much less than the crisp total cost. Graphical analysis is used to illustrate the convexity of the total cost function.</p>