Integration of different energy carriers as well as the large scale energy storages and converters, allows the energy hubs (EH) to supply loads at a lower cost. This cost however can be conceptualized as the EH generation cost when playing the role of a generation unit. This reduction in EH generation cost can directly affect the behavior of the price responsive loads which enables the customers to maintain their benefit function. In this paper therefore, a new EH operation optimization model is proposed, which determines the optimum response of the responsive loads to the associated EH generation costs, in order to minimize the total operation cost of the EH as well as the customers' payments. To this end, a general analytical framework is proposed to determine the EH generation cost per each energy type at the demand side. Also an integrated responsive load model is applied to simulate the responsive load modifications. This study demonstrates how the EH employment can reduce the energy prices at the demand side, and how this price reduction would change the responsiveness of elastic loads. Further, to evaluate the performance of the proposed model, a comprehensive case study has been conducted. (C) 2018 Elsevier Ltd. All rights reserved.