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Four tasks each demand 20 per cent of the processor. Under rate monotonic the set is

  • A.certainly unschedulable
  • B.schedulable only if the periods are harmonic
  • C.possibly schedulable, 0.80 exceeding the four-task bound of 0.757
  • D.certainly schedulable, 0.80 being below unity

Answer: C

Correct answer: possibly schedulable, 0.80 exceeding the four-task bound of 0.757

\[ 4\left(2^{1/4}-1\right) = 0.757, \] and 0.80 is above it. Being above the bound is not a proof of failure - harmonic periods, for instance, allow a set to reach unity - so the analysis must proceed to response times.

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