A Newsboy Model for Cross-Selling Products with Demand Impacted by Price

Cross-selling refers to the fact that customers may purchase another product related to them while purchasing one product, or the loss of sales opportunities for another product due to the shortage of one product. Considering the impact of price and cross-selling products on demand, the newsboy problem in the centralized decision-making environment is studied. In the centralized decision-making environment, consider a single retailer, pay attention to the sum of expected returns of all products, and propose the first-order necessary condition for the existence of the maximum value of the return function, which provides the basis for retailers to make decision-making strategies.