The instructions in a given program and the proportions of processor time they consume are as follows:

Instruction Type Processor time

Loading 20%

Floating Point 15%

Storage 15%

Arithmetic 30%

Branching, Jumping 20%

If the number of instructions in the program and the clock frequency of the processor do not change:

a) How much faster does increasing the speed of floating point operations by 5 times speed up the processor?

b) How many times should the arithmetic operations be accelerated for the processor to run 20% faster?