Magic Company adds materials at the beginning of the process in Department A$.$ The following information on physical units for Department A for the month of August is available:

Work in process, August $1(58\%$ complete with respect to conversion$)16,900$

Started in August $119,500$

Completed $119,500$

Work in process, August $31(70\%$ complete with respect to conversion$)16,900$

Required:

a$.$ Compute the equivalent units for materials costs and for conversion costs using the weighted$-$average method.

b$.$ Compute the equivalent units for materials costs and for conversion costs using the FIFO method.