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Vehicle Routing Problem(VRP) is one of the most important and classical issues in the logistics distribution field. However, the excessive consumption of oil resources makes a dramatic increase in emissions of carbon dioxide in the atmosphere which causes a deterioration of the environment around us for the past few years. The electric vehicle(EV) is a better alternative which operates with batteries instead of using gasoline. In this paper, we present the Electric Vehicle Problem(EVRP) and describe it with a mathematical programming model. Then, we verity the model via the mathematic program software called AMPL/CPLEX and the mathematic instances are extracted from the Solomon's instances. We propose a programming algorithm as an exact solution approach for the EVRP. Problem examples and numerical calculation have been provided to evaluate the solution approach and the optimality.