Metlock Corp. reported the following detail for its budgeted MOH costs, broken into three key activities.

$($a$)$ Calculate Metlock's plant$-$wide MOH rate if allocations are based on machine hours. $($Round answer to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$

Plant$-$wide MOH rate $ $/$machine hour

$($b$)$ Calculate activity rates for each key activity.