Optimal Resource Allocation for Two-Core Machines with Equal Memory

D.

To determine the maximum number of two-core machines with equal memory that can be created, we first need to calculate the amount of memory and cores that will be reserved as a buffer for the hypervisor.

Given that the resource pool has 90 GB of memory and 120 cores, we can calculate the amount of memory and cores that need to be reserved for the buffer as follows:

• Memory buffer = 30% of 90 GB = 0.3 * 90 GB = 27 GB
• Core buffer = 30% of 120 cores = 0.3 * 120 cores = 36 cores

Therefore, the actual available memory and cores for virtual machines (VMs) will be:

• Available memory = 90 GB - 27 GB = 63 GB
• Available cores = 120 cores - 36 cores = 84 cores

Now, to determine the maximum number of two-core machines with equal memory that can be created, we need to calculate the amount of memory that each VM will require. We can do this by dividing the available memory by the number of VMs we want to create, and then rounding down to the nearest whole number to ensure that each VM has the same amount of memory.

Let's consider each answer option:

A. 30 VMs, 3GB of memory Each VM will require 3 GB of memory, so the total memory required will be 30 * 3 GB = 90 GB. This is equal to the available memory, so we cannot create any more VMs. Also, each VM requires 2 cores, so we can only create a maximum of 42 VMs (84 cores / 2 cores per VM).

B. 40 VMs, 1.5GB of memory Each VM will require 1.5 GB of memory, so the total memory required will be 40 * 1.5 GB = 60 GB. This leaves us with 63 GB - 60 GB = 3 GB of available memory. Each VM requires 2 cores, so we can create a maximum of 42 VMs (84 cores / 2 cores per VM).

C. 45 VMs, 2 GB of memory Each VM will require 2 GB of memory, so the total memory required will be 45 * 2 GB = 90 GB. This is equal to the available memory, so we cannot create any more VMs. Also, each VM requires 2 cores, so we can only create a maximum of 42 VMs (84 cores / 2 cores per VM).

D. 60 VMs, 1 GB of memory Each VM will require 1 GB of memory, so the total memory required will be 60 * 1 GB = 60 GB. This leaves us with 63 GB - 60 GB = 3 GB of available memory. Each VM requires 2 cores, so we can create a maximum of 42 VMs (84 cores / 2 cores per VM).

Therefore, the correct answer is B. 40 VMs, 1.5GB of memory, which will allow for the maximum number of two-core machines with equal memory.