The case relates to normal costing of overhead allocation. In this case, the solution needs to be computed working backwards. That means each formula needs to mentioned in equation and solved backwards as done below :
1a.
Direct manufacturing labor costs = manufacturing overhead allocated/250%
= 3,750,000/2.5 = $ 1,500,000
b.
Let Cost of direct materials used be X
Total manufacturing cost = Cost of direct materials used + Direct manufacturing labor cost + manufacturing overhead allocated
Or, 8,450,000 = X + 1500,000 + 3,750,000
Or, X = $ 3,200,000
So, Cost of direct materials used = $ 3,200,000
c.
Let work in process 31.12.2017 be denoted by Y
Work in process as on 1.1.2017 + total manufacturing cost = Cost of goods manufactured + work in process 31.12.2017
Or, 390,000 + 8,450,000 = 8020,000 + Y
Or Y = $ 820,000
So, work in process 31.12.2017 = $ 820,000
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