<p>In this paper, an sustainable imperfect production system for shortages and complementary products with advertisement-price- sales return and green degree dependent demand and carbon emission is considered. The green production lot size, shortages and optimal pricing are three decision variables in third order equation. A provision has been made to sell the defective items. In literature, only two decision variables are considered in imperfect production system. In this model, three decision variables that is green production lot size, shortages and pricing are considered in imperfect production system. Price-break-even point is determined, the law of demand is verified, and highest possible profit is identified from the three alternative prices. The price break-even of the product per unit is 3299.4834 and in this stage neither profit nor loss for the concern. Taking from a third-order equation including three price variables, optimum pricing solution shows that a price level of 4079.5108 yields the highest profit of 102184.49. The objective of this model is to determine the green production lot size, shortages, and pricing for overall maximum profitability. The mathematical formulation's validity is shown by a numerical experiment, and the effects of inventory components on overall profit and managerial insights are examined using sensitivity analysis. The validation of the model's results was programmed utilizing Microsoft Visual Basic 6.0.</p>