To determine the current $i_1$ from $A$ to $C$, I need the actual circuit diagram (showing the connections, resistances, sources, and labels $A$ and $C$).

However, the problem statement here includes only the text of the question and options, but the circuit diagram itself is missing. Without the diagram, the current cannot be calculated uniquely.

Why the diagram is necessary

In a current-electricity circuit problem, $i_1$ depends on:

1. The arrangement of branches,
2. The values of resistors,
3. The emf and polarity of batteries,
4. The positions of points $A$ and $C$.

Different diagrams can produce completely different values of $i_1$, so the answer cannot be derived from the text alone.

Conclusion

Since the circuit figure is not provided, I cannot verify whether the current is $1\ \text{A}$, $4\ \text{A}$, $5\ \text{A}$, or $2\ \text{A}$.

Please upload or include the circuit diagram, and I can then solve it step-by-step using Kirchhoff’s laws / series-parallel reduction as needed.