Consider a processor that runs at 5 ghz and 1 volt. when running a given cpu-bound program, the processor consumes 100 w, of which 20 w is leakage. the program takes 5 seconds to execute. the processor is capable of running at different voltages and frequencies. assume that the processor is capable of executing safely at voltages between 0.8 v to 1.2 v. voltage and frequency follow a linear relationship (i. e., if voltage doubles, frequency doubles as well. compute the following values:

(a) the shortest time it would take to execute the program.

(b) the lowest power to execute the program.

(c) the lowest energy to execute the program.