Perform a capacity planning for the given two-level memory system. The fist level cache L has four capacity choices of 64 KB, 128 KB, 256 KB, and 512 KB. The second level main memory M is of 8 MB capacity. CL and CM are the cost per byte for cache L and main memory M, respectively. T and TM are the access time for cache L and main memory M, respectively. Assume C = 25 CM and TM = 15 TL. Assume the hit rates for four capacity choices are 0.5, 0.7, 0.95, and 0.98, respectively. a) What is the average access time for the two-level memory system adopting four different cache capacities assuming T = 25 nsec? (Note that TM is the time from CPU to main memory M, not the time from cache L to main memory M) b) Calculate the average byte cost of the entire memory hierarchy for the four cache capacities assuming CM = $ 0.1/byte.