Investment in reducing emissions for many diverse companies is a practical strategy to achieve the emissions objectives as outlined by the United Nations Framework Convention on Climate Change. Livestock-producing farms often fall short of sustainability goals, even though many businesses have already adopted an investment strategy towards sustainability with success. Thereby, livestock-producing farms come under increasing responsibility to reduce their environmental impact, and it is now crucial to make simultaneous decision-making of inventory replenishment and emissions reduction investment to ensure the livestock farming industry's sustainability. In this study, a new path towards sustainable development is designed for livestock-producing farms by investigating the optimal investment plan for controlling emissions under carbon tax (CT) and cap-and-trade (C&T) environmental emissions guidelines. Taking into account both edible and non-edible parts of slaughtering mature growing items (GIs), as well as a non-linear holding cost structure and a power demand pattern for edible components, a comprehensive analytical approach implementing mathematical modeling methodology, economic evaluation, and carbon accounting approaches is accomplished. The most economical investment level that not only improves the environment but also adds to the farm's financial stability is identified by examining the interplay between the investments in emissions reduction and replenishment carried out by the farm. The numerical studies demonstrate that implementing an emission reduction strategy under both CT and C&T guidelines results in a 2.45% reduction in carbon emissions for a tax rate of $4.5. In order to further highlight the impacts of investment accessibility and emission parameters, several outcomes of a numerical analysis are reported. The findings demonstrate that implementation of investment strategy is always beneficial in achieving sustainability goals of the farm by lowering emissions under both CT and C&T emissions regulations.
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