Your 100 core multi-core chip can enable 1 to 50 core A processors and 1 to 50 c

Question

Your 100 core multi-core chip can enable 1 to 50 core A processors and 1 to 50 core B processors. Core A has a “power cost” of $0.20 when enabled, Core B has a “power cost” of $0.50 when enabled. Core B operates twice as fast as Core A. Each unit of time used in processing “t” has an application cost of $0.04 where each addition in core A requires t units of time. If your application uses 500 scalar additions (sequential) and 10,000 matrix additions (parallelizable) how many cores of which type would you enable?

Explanation / Answer

For 500 Scalar additions,

N=500 / 50

N=10 no.of core A processors are enough

For 10000 matrix additions,

N=10000 / (8*50)

N=20 no.of core B processors are enough

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