This study is concerned with harvesting a renewable resource that is surviving in a polluted environment. Fall in the revenue from the resource due to presence of pollution in the environment drives the sole owner to allocate a part of the available effort towards treating the environment and the interest is to find the optimal allocation of the available effort towards harvesting the resource and treating the environment so that the revenue is maximized. Resource-pollution dynamics are studied, maximum sustainable yield and maximum sustainable revenue have been evaluated. Further, an optimal allocation problem has been formulated on infinite horizon and optimal solutions are obtained. Key results of the study are demonstrated through numerical illustrations.

中文翻译：

---

投资治理污染环境对收获的影响：最佳分配问题

这项研究涉及收获一种在污染环境中生存的可再生资源。由于环境中存在污染而导致资源收入下降，这促使唯一所有者将一部分可用努力分配给处理环境，而兴趣是找到可用努力的最佳分配来收获资源和处理环境，使收入最大化。研究了资源污染动态，评估了最大可持续产量和最大可持续收入。此外，已经在无限范围内制定了最优分配问题并获得了最优解。该研究的主要结果通过数字插图展示。