Recently, Manna and Chaudhuri [9] studied the EOQ model with ramp type demand rate, time-dependent deterioration rate, unit production cost and shortages. In this article, we extend their model by considering the backlogging rate, which is a negative exponential function of the waiting time until the next replenishment. In addition, we also add the setup cost into the model, and eliminate half of the unnecessary decision variables. We then use the commercial computer software, Mathematica, to find the optimal production policy.