Operation scheduling of a power plant under market dynamics is a complex problem. It becomes more sophisticated once the plant is integrated with carbon-capture processes as well as the carbon market. This article addresses the problem of a Rankine power plant integrated with one or more solvent-based postcombustion carbon-capture (PCC) process train(s). The company desires to know when and how to operate the installed PCC process trains(s) along with the power plant under the projected carbon, and electricity prices while satisfying the emissions-reduction requirements. We have developed a multiperiod mixed-integer linear program (MILP) with the objective of maximizing the total income. The model is capable of defining the optimal operating capacities of PCC train(s) and power plant at each period over the planning horizon. The PCC trains are, however, allowed to shut down at any time if the market conditions favor it. The model suggests buying or selling carbon permits over the planning horizon when either is more economical. This decision-support program enables the company to implement the most efficient electricity-generation and carbon-management strategy while achieving the goal of maximum income.