In a school-wide competition held at Saul C. Tigh memorial High school, Olympiad teams are challenged to come up with different circuits involving both real and imaginary currents, imaginary currents exists in spots where the electrical energy encounters zero resistance, such as through a coil or wire. Real currents exist only where the electrical energy headed through the circuit encounters resistance, such as when a light bulb "resists" the current and takes up some of the energy carried throughout the circuit.
The members of team Charlie develop a circuit in which the total current, real and imaginary, can be measured at 50+12i amps. They then add the current together with the current produced by Team Delta's circuit, 40-9i amps. Finally, they decide to multiply the resulting current, in amps, by Team Epsilon's total current, 60-2i amps. What is the final current , in amps, after the entire process is completed?

Answer

5406