An EGPQ model with selling price and green degree dependent demand and imperfect product

In this present work, a single item Economic Green Production Quantity (EGPQ) model has been proposed. The environmental impacts are minimized with the use of green products. These products reduce environmental waste and maximize resource efficiency. For healthier life and eco-friendly life, use of green products is very much important. So in today’s global market scenario, green product has a great impact to the consumers as well as to customers. For that reason, green production is an attractive idea to the manufacturer to increase the business more eco-friendly. So, our goal is to introduced a production model such that the profit of the manufacturer will be maximized as well as the greenness of the product also increased. To reduce the production waste, some extra cost is also needed. So, in this paper, an extra cost has been considered for each produced items. Now no production system is perfect, for that reason it is also assumed that the proposed system produced some imperfect items. To separate the perfect and imperfect product a screening system has been considered. The perfect quality items have a demand in the market which is depended on the green degree of the product as well as the selling price of the product. The consideration of production costs dependent on the degree of greenness has not been addressed in previous EPQ models, making this approach a novel addition to the proposed model. Since producer always want to sell the items in a rate which is greater than production cost. So a variable mark up has been considered here. The imperfect quality items are sold in a lot after the production period. Now our aim of this paper is to find the optimal profit value of the manufacturer with the use of green product by the commodity. In the proposed model, the optimality has been analyzed with numerical and graphical results. As the model is non linear LINGO software is used to solve the optimal model. The results clearly show that increased use of green products leads to higher profits for the manufacturer. The analysis indicates that as production of green products rises, demand also grows, thereby boosting the manufacturer’s profit.