Consider a computer system consists of a level 1 cache memory (L1) and a main memory (MM). L1 has a hit time of 5 ns and a miss rate of 30%. The latency of accessing a block of data in MM is 250 ns. (a) Determine the average memory access time (AMAT) of the system (in terms of ns). (b) There are two design options to improve the performance of the system. Option 1 is to replace L1 by a bigger cache X. Option 2 is to add a new cache Y as a level 2 cache (L2) in between L1 and MM. Suppose the costs of the two options are the same, which design option will result in better performance in terms of AMAT? Show your steps. Global Miss Rate Latency Cache X 16% 16 ns Cache Y 18% 18 ns (c) Suppose the latency of MM is 500 ns. Do you have a different answer for (b)? Show your steps.