Wedd Corporation uses activity$-$based costing to assign overhead costs to products. Overhead costs have already been allocated to the company's three activity cost pools as follows: Processing, $$51,200$; Supervising, $$31,400$; and Other, $$24,000.$ Processing costs are assigned to products using machine$-$hours $($MHs$)$ and Supervising costs are assigned to products using the number of batches. The costs in the Other activity cost pool are not assigned to products. Activity data appear below:

$\backslash$table$[[,$MHs $($Processing$),$Batches$],[($Supervising$),,],[$Product O$6,15,000,1,490],[$Product D$7,1,070,1,030],[$Total$,16,070,2,520]]$

What is the overhead cost assigned to Product $O6$ under activity$-$based costing? $($Round your calculation of activitybased overhead rate to $2$ decimal places.$)$

$$ $$66,415\mathrm{.}40$

$$18,565\mathrm{.}40$

$$47,850\mathrm{.}00$

$$ $$50,947\mathrm{.}40$