The computation of the total cross section for the elastic scattering of slow electrons from cesium atoms was investigated. The model adopted consisted of a combination of the Biermann and Harting polarization potential with the Hartree potential of a cesium atom. The cross section was computed by the phase shift method. Using the reported values of the polarizability of cesium and a value of 6.13 a0 for the cutoff parameter, fr0, in the polarization potential, it was found that this model yields values of the cross section in agreement with current experimental results. A method is proposed for the choice of the cutoff parameter.