Nixon Machine Parts Inc.$\text{'}$s Fabrication Department incurred $$158,100$ of factory overhead cost in producing gears and sprockets. The two products consumed a total of $5,100$ direct machine hours. Of that amount, sprockets consumed $2,600$ direct machine hours.

Determine the total amount of factory overhead that should be allocated to sprockets using machine hours as the allocation base. If required, round your answer to the nearest dollar.

$2)$ ozama.com Inc. sells consumer electronics over the Internet. For the next period, the budgeted cost of the sales order processing activity is $$157,200,$ and $13,100$ orders are estimated to be processed.

a$.$ Determine the activity rate of the sales order processing activity.

b$.$ Determine the amount of sales order processing cost that Nozama.com would receive if it had $7,500$ sales orders.