Cancer immunotherapy is one of the emerging therapies for cancer treatment where immune cells are guided to fight against cancer. Clinical immunologists are proposing different ideas to stimulate the immune cells and dendritic cell therapy is one among them. Like, other treatment modalities, the challenge in dendritic cell therapy is when and how much dendritic cells should be administered. In this work we use a mathematical model which elucidates the activation of the helper T-cells and cytotoxic T-cells by the intervention of dendritic cells. The objective is to minimize the tumor cells for a given input of dendritic cells. Then multi-objective optimization is applied on the model to design the treatment planning in order to achieve the objective.