If an organization has 4 nodes, each with 32 cores, running for 4 hours and 4 nodes in 3 hours, what is the percent efficiency?

If an organization has 4 nodes, each with 32 cores, running for 4 hours and 4 nodes in 3 hours, what is the percent efficiency?

• A. 50%
• B. 67%
• C. 75%
• D. 80%

Answer: (B)

To calculate the percent efficiency, you start by determining the theoretical maximum processing capacity and the actual capacity used. First, let's compute the theoretical maximum capacity. Each of the 4 nodes has 32 cores, so you multiply the number of nodes by the number of cores per node: 4 nodes * 32 cores/node = 128 cores. Now, we need to find out how much work could be done if all cores were utilized continuously for their respective durations. The two scenarios involve two different running times: 1. 4 nodes running for 4 hours: 4 nodes * 4 hours = 16 node-hours. 2. 4 nodes running for 3 hours: 4 nodes * 3 hours = 12 node-hours. Now, to find the total theoretical capacity in terms of core-hours, this can be calculated by multiplying the total node-hours by the number of cores available: - For the first scenario (4 nodes running for 4 hours): 16 node-hours * 32 cores/node = 512 core-hours. - For the second scenario (4 nodes running for 3 hours): 12 node-hours * 32 cores/node = 384 core-hours. The total theoretical capacity thus is 512 + 384 = 896

To calculate the percent efficiency, you start by determining the theoretical maximum processing capacity and the actual capacity used.

First, let's compute the theoretical maximum capacity. Each of the 4 nodes has 32 cores, so you multiply the number of nodes by the number of cores per node:

4 nodes * 32 cores/node = 128 cores.

Now, we need to find out how much work could be done if all cores were utilized continuously for their respective durations. The two scenarios involve two different running times:

1. 4 nodes running for 4 hours:

4 nodes * 4 hours = 16 node-hours.

2. 4 nodes running for 3 hours:

4 nodes * 3 hours = 12 node-hours.

Now, to find the total theoretical capacity in terms of core-hours, this can be calculated by multiplying the total node-hours by the number of cores available:

• For the first scenario (4 nodes running for 4 hours):

16 node-hours * 32 cores/node = 512 core-hours.

• For the second scenario (4 nodes running for 3 hours):

12 node-hours * 32 cores/node = 384 core-hours.

The total theoretical capacity thus is 512 + 384 = 896