The following table, based on data reported in the literature [HEAT84], shows the execution times, in seconds,

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The following table, based on data reported in the literature [HEAT84], shows the execution times, in seconds, for five different benchmark programs on three machines.
The following table, based on data reported in the literature

a. Compute the speed metric for each processor for each benchmark, normalized to machine R. That is, the ratio values for R are all 1.0. Other ratios are calculated using Equation (2.5) with R treated as the reference system. Then compute the arithmetic mean value for each system using Equation (2.3).This is the approach taken in [HEAT84].
b. Repeat part (a) using M as the reference machine. This calculation was not tried in [HEAT84].
c. Which machine is the slowest based on each of the preceding two calculations?
d. Repeat the calculations of parts (a) and (b) using the geometric mean, defined in Equation (2.6).Which machine is the slowest based on the two calculations?

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