Perform a capacity planning for the given two-level memory system. The first level, L is a cache with four capacity choices of 64 KB, 128 KB, 256 KB and 512 KB. The second level, M is a main memory of 8MB capacity. Let CL and CM be the cost per byte and TL and TM be the access times for L and M respectively. Assume CL-25CM and TM-15TL. Assume the cache hit ratios for the four capacities to be 0.5, 0.7, 0.9 and 0.98 respectively. a) What is the average access time TA in terms of TL = 25 nsec in the four cache designs? (Note that TL is the time from CPU to L and TM is the time from CPU to M, not L to M) b) Calculate the average byte cost of the entire memory hierarchy for the four cache designs if CM = $0.25/byte. c Compare the four memory designs and indicate the order of merit in terms of average costs and average access times respectively. Choose the optimal design based on the product of average cost and average access time