Problem $3(40$ pts$)$

You are considering adding a hardware accelerator to your current desktop machine to

speedup the vector matrix operations found in machine learning code. Datasheets for the

hardware accelerator claim a $10$x boost $($performance increase$)$ for code that runs on the

accelerator. The percentage of code that can run on the accelerator is defined as the

percentage of time spent running the original code on the CPU $($i$.$e$.$ without the

accelerator$).$

a$.$ What percentage of your original code needs to be run on the accelerator to get

an overall speedup of $1\mathrm{.}75?$

b$.$ What percentage of the overall execution time would be spent executing on the

accelerator for the speedup of $1\mathrm{.}75?$