Compare the cost-effectiveness of two travel options (Option 1: Via N2, Option 2: Via R56) based on distance, toll fees, running costs, and fuel costs. Justify the most cost-effective route.

Distance = $195 \text{ km}$
Total toll fee cost = $\text{R}112.00$
Since no other costs are mentioned for this route, the total cost is the toll fee.

Distance = $260 \text{ km}$
No toll fees.
Vehicle's running cost (excluding fuel) = $\text{R}3.50$ per km
Fuel cost = $\text{R}1.75$ per km
First, calculate the total cost per kilometre for Option 2:

Now, calculate the total cost for Option 2:

Total Cost (Option 1) = $\text{R}112.00$
Total Cost (Option 2) = $\text{R}1365.00$
Since $\text{R}112.00 < \text{R}1365.00$, Option 1 is the most cost-effective.
The most cost-effective route for the company is $\boxed{\text{Option 1 (Via the N2)}}$.