An engineering team has a design choice for which microcontroller to use in their project. The three microcontrollers are A$,$ B$,$ and C; and the team has chosen three design criteria.

Criteria

cost $($$$)$

supply power $($mW$)$

processor speed $($MHz$)$

Find the weights of the selection criteria using the geometric mean

$$ Power is moderately $(2\mathrm{.}5)$ more important than speed.

$$ Cost is strongly $(5)$ more important than power.

$$ Cost is very strongly $(10)$ more important than speed.

You must use several numerical matrices to find the relative weights. Don't forget to minimize cost and power, while maximizing processor speed.