$1.$ Determine the speedup achieved by the parallel execution using the six processors compared to the serial execution. Also, compute the efficiency.

$2.$ Under ideal conditions, the parallel execution should be $6$ times faster compared to the serial execution $($ideal speedup $=6)$ and the efficiency should be $1($ideal efficiency $=1).$ Compare the speedup and efficiency values that you computed in point $1$ with the ideal speedup and efficiency values. What are the reasons that make the speedup and efficiency values that you have computed different than the ideal speedup and efficiency?

$3.$ Assume that the parallel program is run on $12$ processors to reduce the execution time, does this lead to changing the speedup and efficiency values that you have computed in point $1?$ Justify your answer.Question $2(50\%)-$ Consider a program that is used to compute the multiplication of matrices of large sizes. The program was run on a serial computer, and it took $400$ seconds to execute. To accelerate the computation process, the program was rewritten to support parallel computing, and then run on a parallel computer system with $6$ processors. The chart below shows the utilization $($green color$)$ of the six processors, where the last processor finished the execution after $80$ seconds from the beginning of the program run.

$\backslash$table$[[$Time $($sec$),0-10,11-20,21-30,31-40,41-50,51-60,61-70,71-80],[$P$\_(0),,,,,,,,],[$P$\_(1),,,,,,,,],[$P$\_(2),,,,,,,,],[$P$\_(3),,,,,,,,],[$P$\_(4),,,,,,,,],[$P$\_(5),,,,,,,,]]$