Abstract: The emergence of the mixed carbon policy of both carbon tax and cap-and-tradehas made supply chain enterprises pay more attention to investment in emission reduction technologies and implement low-carbon production. Additionally,in the face of increasingly diversified and personalized market demand, increasing numbers of enterprises have acquired competitive advantages by adopting product diversification strategies. These diverse products are often not independent, but have a certain substitution or complementary relationship with other products. This causes the sales volume of a product to be affected not only by its own price and level of carbon emission reduction, but also by the price of its substitutes or complements. Based on the above background, this paper studies a make-to-order supply chain consisting of a single manufacture and a single retailer. In this supply chain, there are two different products with a certain substitution or complementary relationship. First, the optimal operational decisions of themanufacturer andthe retailer under decentralized and centralized decision-making are calculated and the optimal profits of the supply chain under different scenarios are compared. It can be concluded that the optimal profit of the supply chain in the centralized decision-making scenario is significantly higher than that in the decentralized decision-making scenario. Then, a revenue-sharing contract is improved. This paper comes up with new design with constructing equivalent equations. It is found that the profits of the manufacturer and the retailer can achieve Pareto improvement, and the profit of the supply chain can reach Pareto optimality. Under the revenue-sharing contract, the specific amount of the benefit distribution depends on the bargaining power of both parties and their status in the supply chain. However, as long as profit sharing fluctuates within the specified range, the supply chain can achieve coordination. Finally, numerical examples are provided to verify the above conclusions.

Key words: carbon tax, cap-and-trade, supply chain, revenue sharing contract, equivalent equation