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Taiwan's EPA has implemented a new guideline called the "Plastic Products Restriction Policy", prohibiting some industries to use plastics as packaging materials for the sake of sustainable use of resources. The significant effect resulting from this policy is the substitution of plastic products with paper products. Is this policy beneficial to achieve future sustainability? I attempt to analyze the resource choice between renewable resources and exhaustible resources for production of final products and services in case of exhaustion of natural resources. In this paper, I develop a framework to examine the dynamic responsiveness of a socio-economical system in facing a continual depletion of natural resources provided by an environmental system. In this framework, the status of an environmental system in terms of carrying capacity is affected by the cumulative impacts caused from human activities, including environmental pollution and resource exploitation. Conversely, it also affects the growth of renewable resources. This framework can serve as a guideline to construct indicators to measure the status of the environmental system and the socio-economical system in order to support a policy planner that formulates an appropriate environmental policy. Based on this framework, I also develop a mathematical model to determine the optimal ratio of resources choice between renewable resources and exhaustible resources.