The LEHMANN--SYMANZIK--ZIMMERMANN (LSZ) formalism is used in an extended LEE model to calculate the multichannel scattering and production amplitudes in VN-and VV-sectors. The extended model is comprised of two heavy recoiiless particles V and N; and n O particles. The interactions ate in such a way that only processes V ~_ NOI, i = 1,2 .... , n, are allowed. In this multi-O LEE model, the z-functions are evaluated by solving the MAT-THEWS--SALAM equations in the VN-and VV-sectors. Finally the multichannel scattering and production amplitudes are obtained by using standard techniques.