This paper focuses on the optimal operations of an industrial power plant equipped with a Combined Cooling, Heat and Power (CCHP). The goal of the control strategy is to minimize the generation and maintenance costs of the power plant, scheduling the CCHP's operations, the usage of the auxiliary generators (used to meet the demand when the CCHP is turned OFF), the purchasing/selling phase from/to the main grid and integrating the renewable energy sources. The overall problem is stated as a constrained mixed integer linear optimization problem with both continuous and logical variables. A Model Predictive Control (MPC) approach is used to compensate forecasts uncertainties in the control strategy. Being the industrial work load related to the production lines consumption, an optimal load allocation algorithm is implemented to optimally schedule the production lines over the planning day. The simulation results are performed on an industrial plant layout located in the city of Benevento, in Italy.