Mine planning has historically prioritized the maximization of Net Present Value (NPV) through deterministic geoeconomic frameworks, predominantly isolating operational variables from environmental externalities and market volatility. This thesis focused these critical deficiencies by developing an integrated Sustainable Net Present Value (S-NPV) framework that incorporates stochastic uncertainty and Environmental, Social, and Governance (ESG) liabilities directly into the dynamic cut-off grade optimization calculations. The proposed methodology expands classical capacity-constrained optimization theory by mathematical internalization of environmental footprints, specifically Scope 1 and Scope 2 carbon dioxide equivalent emissions (PCO2) and industrial freshwater consumption (PH2O), by applying shadow pricing into the operational expense (OPEX) functions.