The management of Schneiter Corporation would like to investigate the possibility of basing its predetermined overhead rate on activity at capacity rather than on the estimated amount of activity for the year. The company's controller has provided an example to illustrate how this new system would work. In this example, the allocation base is machine$-$hours and the estimated amount of the allocation base for the upcoming year is $42,000$ machine$-$hours. In addition, capacity is $46,000$ machine$-$hours and the actual activity for the year is $43,000$ machine$-$hours. All of the manufacturing overhead is fixed and is $$734,160$ per year.

Required:

a$.$ Determine the predetermined overhead rate if the predetermined overhead rate is based on activity at capacity.

b$.$ Determine the cost of unused capacity for the year if the predetermined overhead rate is based on activity at capacity.