$5.$ Consider a computer running a program that requires $250$ seconds, with $70$ seconds spent executing floating point instructions, $130$ s executing integer instructions, and $50$ seconds executing branch instructions.

$5$a$.$ By how much is the total time reduced if the time for floating point operations is reduced by $30\%?$

$5$b$.$ By how much is the time for integer operations reduced if the total time is reduced by $20\%?$ Assume the time for other operations remains the same.

$5$c$.$ Can the total time can be reduced by $30\%$ by reducing only the time for branch instructions?