Consider a cache with a line size of 64 bytes. Assume that on average 30% of the lines in the cache are dirty. A word consists of 8 bytes.

(a) Assume there is a 3% miss rate (0.97 hit ratio). Compute the amount of main memory traffic, in terms of bytes per instruction for both write-through and write-back policies. Memory is read into cache one line at a time. However, for write back, a single word can be written from cache to main memory.

(b) Repeat part a for a 5% rate.

(c) Repeat part a for a 7% rate.

(d) What conclusion can you draw from these results?

Please show work.