Abstract

In order to reduce the carbon emissions of manufacturers and retailers in their business activities, carbon emission limits must be set for manufacturers and retailers respectively, and they must make favorable decisions within the limits. This paper will focus on a two-level supply chain system composed of a single manufacturer and a single retailer, and explore the optimal wholesale price, optimal retail price, and optimal profit under four scenarios: neither is constrained by carbon quotas, only the manufacturer is constrained by carbon quotas, only the retailer is constrained by carbon quotas, and both are constrained by carbon quotas, by constructing Lagrange functions. Comparative analysis will be conducted. Research has shown that only when manufacturers are subject to carbon quotas, the optimal wholesale and retail prices will rise, and the optimal profits of both manufacturers and retailers will decrease; When retailers are constrained by carbon quotas, whether manufacturers are constrained by carbon quotas does not affect the optimal price and profit; When both are subject to carbon emission restrictions and retailers increase their carbon emission quotas, manufacturers will lower wholesale prices and retailers will lower retail prices.

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