Assume that we are considering enhancing a machine by adding vector hardware to it$.$ When a computation is run in vector mode on the vector hardware, it is $10$ times faster than the normal mode of execution. We call the percentage of time that could be spent using vector mode the percentage of vectorization.

a$.$ Draw a graph that plots the speedup as a percentage of the computation performed in vector mode. Label the y$-$axis $$Net Speedup$$ and label x$-$axis $$Percentage Vectorization.$$

b$.$ What percentage of vectorization is need to achieve a speedup of $2?$

c$.$ What percentage of computation run time is spent in vector mode if a speedup of $2$ is achieved?

d$.$ What percentage of vectorization is needed to achieve one$-$half the maximum

speedup attainable from using vector model?