5G technology has brought tremendous growth in connectivity, mobile traffic capacity, and enhanced performance with greater throughput, lower latency, ultra-high reliability, higher connectivity, and an expanded range of mobility. We present here a unified E2E logical functionality placement with the joint placement of distributed units (DU), centralized Units (CU) and user plane functions (UPF). The problem is modeled as a large-scale integer linear program, solved using decomposition techniques. It includes all key network and IT resources and optimizes DU, CU and UPF placements and their numbers. Numerical results are presented on an open Montreal traffic dataset. Sensitivity analysis is performed, investigating the impact of the number of locations hosting DU, CU and UPF functionalities on the delays of the request flows.