Sure, let's break down the solution step-by-step for determining the portion of the shared $6000 security cost that should be apportioned to Store A.
### Step 1: Calculate the Total Area of All Stores
The area for each store is given as:
- Store A: \(2500 \, \text{ft}^2\)
- Store B: \(625 \, \text{ft}^2\)
- Store C: \(625 \, \text{ft}^2\)
- Store D: \(2500 \, \text{ft}^2\)
To find the total area, we sum up the individual areas of all the stores:
[tex]\[
\text{Total Area} = 2500 + 625 + 625 + 2500 = 6250 \, \text{ft}^2
\][/tex]
### Step 2: Calculate the Proportion of Store A's Area to the Total Area
Next, we need to find the proportion of the area that Store A occupies relative to the total area. This is done by dividing Store A's area by the total area:
[tex]\[
\text{Proportion of Store A} = \frac{\text{Store A Area}}{\text{Total Area}} = \frac{2500}{6250} = 0.4
\][/tex]
### Step 3: Calculate the Apportioned Cost for Store A
Now, we use the proportion calculated in Step 2 to find out how much of the $6000 security cost should be apportioned to Store A. We do this by multiplying the total security cost by the proportion of Store A:
[tex]\[
\text{Cost apportioned to Store A} = \text{Total Security Cost} \times \text{Proportion of Store A} = 6000 \times 0.4 = 2400
\][/tex]
Therefore, the portion of the shared $6000 security costs that should be apportioned to Store A is:
[tex]\[
\$2400
\][/tex]
