Consider the following program and cache behaviors.

Data Reads per $1000$instructions:$200$

Data Writes per $1000$instructions: $50$

Instruction Cache Miss Rate :$0\mathrm{.}40\%$

Data Cache Miss Rate :$2\%$

Block Size $($bytes$)$:$64$

a$.$For a write through, write allocate cache, what are the minimum read and write bandwidths $($measured by byte per cycle$)$needed to achieve a CPI of $2?(6$pts$)$

read bandwidths : $\_\_\_\_$write bandwidths : $\_\_\_\_$

b$.$For a writeback, write allocate cache, assuming $30\%$of replaced data cache blocks are dirty, what are the minimal read and write bandwidths needed for a CPI of $2?(6$pts$)$

read bandwidths : $\_\_\_\_$ write bandwidths :