Production planning is an essential step to meet the continuous growing demand in the world. During production activities a lot of carbon emission takes place which produces negative impacts to the environment. In order to minimize the negative impacts to the environment carbon emission need to be restricted within certain limits. Practically, these limits cannot be reduced beyond certain values which are governed via technologies available for production. In order to calculate the carbon emission limits, a graphical methodology is presented in this paper. The methodology determines in-between carbon emission capping which provide the limits for carbon emission using pinch analysis while carrying out the production activities. In-between caps are calculated using the Forecasted Emission Demand Curve which provides a clear visualization of the emission via production in the tenure of production planning. Technologies are dynamic in nature and changes in these technologies are very much expected. The proposed methodology is able to include such dynamism of technologies. In order to demonstrate proposed methodology, an example is presented in which in-between carbon emission caps are calculated according to forecasted production demand.