“…2 Referring to the studies of scholars such as Lan et al [28] and Cai et al [5], it was assumed that the freshness of agri-foods θ and the level of freshness preservation effort τ is related to θ(τ) = θ 0 τ, where θ 0 ∈ [0, 1] is the initial freshness level. Referring to the studies of scholars such as Xu et al [29] and Yang et al [2], it is assumed that the freshness input cost of agricultural product producers c 1 and the level of preservation effort τ is related to c 1 (τ) = 1/2λ 1 τ 2 , where λ 1 > 0 is the coefficient of freshness preservation effort cost; the low carbon input cost of agricultural product producers c 2 and the low carbon level of agri-foods g is c 2 (g) = 1/2λ 2 g 2 where λ 2 > 0 is the low carbon effort cost coefficient. 3 Since the actual consumer demand is influenced by the freshness of the produce θ, low carbon level g and price p r and it is affected by the multiple effects of freshness, low carbon level, and price; referring to the linear inverse demand function, it is assumed that the demand for offline channel d r (θ, g, p r ) = ρa + αθ + βg − bp r and the online channel demand d e (θ, g, p r ) = (1 − ρ)a + αθ + βg − bp r , where 0 < ρ < 1 is the proportion of consumers choosing offline channels to purchase, b > 0 is the price elasticity of demand, and α > 0 is the sensitivity coefficient of consumer demand to the freshness of agri-foods, and β > 0 is the sensitivity coefficient of consumer demand to the low carbon level of agri-foods.…”