Problem 3: One fallacy students and researchers often make is expecting to improve the overall performance of a computer just by improving only one aspect of the computer. Instructions are classified as: Integer, Floating Point, Load/Store, Branch, in this fictitious processor. Consider a computer running a program that requires 250s, with 80s spent executing Floating Point (FP) instructions, 60s executed Load/Store instructions, and 50s spent executing branch instructions.

a. By how much is the total time reduced if the time for the FP operations is reduced by 20%?

b. By how much is the time for integer (INT) operations reduced if the total time is reduced by 20%?

c. Can the total time be reduced by 20% by reducing only the time for the branch instructions?