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$7(3$ marks$)$ :

The sum of a $20002000$ matrix $($total $4000000$ numbers$)$ of floating point numbers is calculated using a parallel program that runs on $600$ processors across a cluster. A single floating point addition of two numbers takes $2\mathrm{.}5$ micro seconds. Ignore the communication overhead.

a$)$ Using Amadhls formula what is the execution time of calculating this sum if each of the $600$ processors gets an equal balanced work load.

b$)$ Using Amadhls formula what is the execution time of calculating this sum if one processor gets $80000$ numbers of the total work load to sum and the other $599$ processors each get an equal load out of the remaining $3920000$ numbers work load.

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