Multiprocessor systems can improve performance over single CPU systems by utilizing multiple processors that share memory and resources. However, scaling the number of processors is challenging due to bottlenecks like shared bus bandwidth. Various multiprocessor architectures aim to improve scalability, including cache consistency protocols, crossbar switches, and non-uniform memory access designs. Effective parallelization of workloads and careful management of shared data is also important. Implementing an operating system for multiprocessors presents challenges like concurrency in the kernel and efficient synchronization between processors.