Answer:
correct option is C) $30,300
Explanation:
solution first we find Manufacturing Overhead Allocated that is express as 
Manufacturing Overhead Allocated = 130% × Direct Labor Cost incurred     .............1
Manufacturing Overhead Allocated = 130% × $77,000
Manufacturing Overhead Allocated = $100,100
and  Direct Material  is 
Direct Material = Cost of Materials requisitioned - Indirect Materials     .......................2
Direct Material = $51,000 - 4,500
Direct Material = $46,500
and 
so Total Cost added to Work in Process will be 
Total Cost added to Work in Process = Direct Materials + Direct Labor + Manufacturing Overhead       ...................3
Total Cost added to Work in Process = $46,500 + 77,000 + 100,100
Total Cost added to Work in Process = $223,600
and 
Balance in Work in Process Inventory = Total Cost added to Work in Process – Cost of goods manufactured + Beginning Inventory    ..................4
Balance in Work in Process Inventory = $223,600 – 223,000 + 29,700
Balance in Work in Process Inventory = $30,300
so correct option is C) $30,300