The consumer’s demand for certain products must be grown through frequent promotion. Also, maintaining the green level of the products can catch customers’ attention. The demand can be boosted by lowering the selling price per unit quantity. These essential issues should be considered while modelling the demand function for a production-retail scenario. The production of commodities cannot be error-free. A small part of the production may be imperfect, and the rate of the imperfect output must be increased as time forwards. The production cost increases as the advertisement frequency, maintenance of green level advances, and time forwards. The inventory carrying cost per unit product also hikes with time. This paper presents a comprehensive inventory optimization model, including the mentioned issues in its hypotheses. The result shows that the average profit is significantly sensitive to the selling price and production cost per unit. The resultant managerial insights after solving the proposed model are as follows. First, the average profit increases with the selling price hike and frequent advertisement. Second, the green level cannot increase average profit, though it causes surplus demand, because maintaining green levels of items incurs additional costs. Third, accumulating defective items during production diminishes average profit as the sellable products are lowered.

消费者对某些产品的需求必须通过频繁的促销来增长。此外，保持产品的绿色水平也能引起消费者的关注。通过降低单位数量的售价可以刺激需求。在对生产-零售场景的需求函数进行建模时应考虑这些基本问题。商品的生产不可能没有错误。一小部分的生产可能是不完美的，并且随着时间的推移，不完美产出的比例必然会增加。制作成本随着广告频率、绿化水平维护的推进以及时间的推移而增加。每单位产品的库存持有成本也会随着时间的推移而增加。本文提出了一个全面的库存优化模型，包括其假设中提到的问题。结果表明，平均利润对单位售价和生产成本显着敏感。解决所提出的模型后得到的管理见解如下。首先，平均利润随着售价的上涨和广告的频繁而增加。其次，绿色水平虽然会导致过剩需求，但并不能增加平均利润，因为维持产品的绿色水平会产生额外成本。第三，生产过程中缺陷品的积累会降低平均利润，因为可售产品会减少。