$$\pi = \frac{{\text{n}}}{{\text{T}}},\,\,{\text{total}} = \frac{{\text{n}}}{{\left[ {{\text{kTo}} + {\text{Te}}\left( {{\text{n}},{\text{m}}} \right)} \right]}}$$ The above equa on calculates the value of which of the following?

The correct answer is: A. scalability

Scalability is the ability of a system to handle an increasing amount of work. In the above equation, $\pi$ is the number of tasks that can be completed in a given time period, $T$. The total number of tasks that can be completed is given by the equation $total = \frac{n}{\left[kTo + Te(n,m)\right]}$, where $kTo$ is the number of tasks that can be completed in a given time period without any additional resources, and $Te(n,m)$ is the time it takes to complete an additional task when $n$ resources are available.

As the number of resources increases, the total number of tasks that can be completed increases. This is because each additional resource allows for the completion of more tasks in a given time period. Therefore, the equation calculates the scalability of the system.

The other options are incorrect because they do not measure the ability of a system to handle an increasing amount of work.

• Throughput is the rate at which a system can process data. It is not measured by the above equation.
• Availability is the probability that a system is available for use. It is not measured by the above equation.
• Effectiveness is the degree to which a system achieves its intended goals. It is not measured by the above equation.