Dynamic Optimal Production Strategies Based on the Inventory-Dependent Demand under the Cap-and-Trade Mechanism

Table 3

The influence of 𝑝 on 𝑡₂, 𝑡₃, the corresponding total profit and emission.

CO2 trading	𝑝	𝑡2	𝑡3	Profit 1	Profit 2	Profit 3	Total profit	Total emission
Y	100	3.9528	9.4459	42021.2668	696192.3021	43280.1076	781493.6765	314239.1043
N				42021.2668	1227904.4242	94318.5298	1364244.2208
Y	110	6.5069	9.9727	65440.4192	529219.0797	37970.0436	632629.5425	417412.6549
N				65440.4192	1055021.9671	85907.2818	1206369.6681
Y	120	7.7635	10.3170	80599.6796	520452.1540	39543.7197	640595.5533	502665.7935
N				80599.6796	1028252.7208	85173.0471	1194025.4475
Y	130	8.5343	10.5616	93569.6000	544656.4036	42753.6183	680979.6218	576702.9971
N				93569.6000	1035415.6048	86618.7403	1215603.9450
Y	140	9.0611	10.7434	105627.6679	580551.5702	46966.2625	733145.5006	643189.2194
N				105627.6679	1056741.4175	89068.0487	1251437.1341
Y	150	9.4459	10.8843	117216.0494	621810.6038	50700.2454	789726.8986	704027.5933
N				117216.0494	1085813.6561	92072.8136	1295102.5191

Y denotes the situation in which the firm has joined the carbon trading system and N otherwise. Also 𝑝_C(𝑥−𝑥(𝑡)) is omitted here.