The validity of almost all foods, medicines, flowers and other products will affect product freshness, thereby affecting product consumption effectiveness. Due to information asymmetry regarding product safety of consumption between the product manufacturer and the consumer, the consumer can often indirectly measure an appropriate purchase amount of a product, according to their potential need for the product, the product manufacturing data, and product effective date. This study proposes a mathematical model for concrete discussion of the inventory problem relating to the feature of product freshness. The findings regarding the nature of the optimal solution, and an explanation of the sensitivity analysis, are the main results of this study.