1. When a program is adapted to run on multiple cores in a multiprocessor system, the execution time on each core is comprised of computing time and the overhead time required for locked critical sections and/or to send data from one core to another. Assume a program requires t = 200 sec of execution time on one core. When run on n cores, each core requires t/n sec, as well as an additional 10 sec of overhead, irrespective of the number of cores.
   1. Compute the per-core execution time for 2, 4, 8, 16, 32, 64, and 128 cores.
   2. For each case, list the corresponding speedup relative to a single core and the ratio between actual speedup versus ideal speedup (speedup if there was no overhead).