assume you have a computer that contains 2 GB memory . It contains four memory slots . Each slot can contain 128 MB,256 Mb,512 MB,1 GB or 2 GB memory modules. currently ,each slot contains a 512 MB memory module . Determine which of these combinations is the least expensive to upgrade my computer to 8 GB ?
you say nothing about the cost of each module.
However, since the only way to put 8GB into 4 slots is to use 4x2GB modules, it doesn't much matter what the relative costs are.
Stupidly constructed problem.
To determine the least expensive combination to upgrade your computer to 8 GB, we need to consider the cost of different memory modules. Here are the potential combinations:
1. Option 1: Replace all four 512 MB memory modules with 2 GB modules.
2. Option 2: Replace two 512 MB memory modules with 2 GB modules and keep the other two slots with the existing 512 MB modules.
3. Option 3: Replace three 512 MB memory modules with 2 GB modules and keep one slot with the existing 512 MB module.
4. Option 4: Replace one 512 MB memory module with a 2 GB module and keep the other three slots with the existing 512 MB modules.
To determine the cost of each combination, we need to know the price of each type of memory module. Suppose the prices are as follows:
- 128 MB module: $10
- 256 MB module: $20
- 512 MB module: $30
- 1 GB module: $40
- 2 GB module: $50
We can now calculate the cost for each of the four options:
1. Option 1: Replacing all four 512 MB modules with 2 GB modules:
Cost: 4 * $50 = $200
2. Option 2: Replacing two 512 MB modules with 2 GB modules and keeping the other two slots with the existing 512 MB modules:
Cost: 2 * $50 + 2 * $30 = $160
3. Option 3: Replacing three 512 MB modules with 2 GB modules and keeping one slot with the existing 512 MB module:
Cost: 3 * $50 + 1 * $30 = $180
4. Option 4: Replacing one 512 MB module with a 2 GB module and keeping the other three slots with the existing 512 MB modules:
Cost: 1 * $50 + 3 * $30 = $140
Based on these calculations, Option 4 is the least expensive option to upgrade your computer to 8 GB, with a cost of $140.