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MakcuM [25]
3 years ago
5

Suppose we could improve the speed of the CPU in a computer by a factor of 5 (without affecting I/O performance) for 5 times the

cost. Also assume that the CPU is used 50% of the time, and the rest of the time the CPU is waiting for I/O. If the CPU is one-third of the total cost of the computer, is increasing the CPU speed by a factor of 5 a good investment from a cost/performance viewpoint?
Computers and Technology
1 answer:
Darya [45]3 years ago
4 0

Answer:

Bad Investment

Explanation:

  • Fraction enhanced = 50% = 0.5 (50% CPU is used all times and rest is waiting for I/O.
  • Speed up = 5 (By a factor of CPU speed is increased)
  • Speed up (overall) = \frac{1}{1-Fraction enhanced + \frac{Fraction enhanced}{Speedup enhanced} }
  • Speed up (overall) = \frac{1}{(1-0.5)+\frac{0.5}{5} } = 1.67
  • CPU = 1/3rd the total cost which means rest of the 2/3rd cost remains the same.
  • New cost of machines = (2/3 * 1) + (1/3 * 5) = 2.33
  • This means new machine is 2.33 times the cost of the old machine.
  • \frac{Cost increase}{Performance increase} = \frac{2.33}{1.67} = 1.3980
  • As seen above cost increase is greater then performance increase therefore this is a BAD Investment.
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