The present paper considers the effect of imperfect quality items on a production system which further undergoes inspection and rework. The demand of the product is price reliant. Two situations to handle the imperfect items are analyzed: selling them at a reduced price and reworking them. The demand is assumed to meet with perfect products in either case. Further, the study incorporates the carbon-emissions borne during production of goods and their holding in the inventory system. The model aims at maximizing the profit function by jointly optimizing mark-up price and production quantity. To demonstrate model characteristics, numerical and sensitivity analysis are also presented.

The proposed study addresses a supplier-retailer inventory problem by considering the detrimental impacts of deterioration. The inventory produced by the supplier undergo a machine-shift and hence, produces non-conforming items. The retailer uses the preservation technology to deal with deteriorating items ingeniously where the demand is price-sensitive at the buyers end. Two models are developed through different means viz. Integrated and Bi-level approach and compared so to impart some constructive organizational insights. Sensitivity analysis was done over a numerical example to validate strength of the developed models.