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Answer:- Equivalent production

When the units could not be completed fully at the reporting Date then this incomplete units are converted into equivalent productions by multiplying with their respective Degree of completion.

1. Equivalent units of production (EP)are as follows :-

EP(i) = finished units + WIP (i)

WIP units (i) = Total WIP * DOC (i)

Where

i = cost category with respect to which the WIP units are being calculated

DOC = Degree of completion

Total WIP = Total work in progress = 40000

Calculation of completed units :-

Opening Total WIP = 36000

Add:- units introduced= 510000

Less:- closing Total WIP = 40000

Units completed = 506000

For Material

WIP units (Material) = 40000 × 80% = 32000

EP (Material) = 32000 + 506000= 538000

For conversion cost

WIP Units (conversion) = 40000 × 30% = 16000

EP(conversion) = 12000 + 506000 =518000

2. As per weighted average cost per unit of equivalent production :-

C(i) = Total cost (i) /EP(i)

C(Material) = Total Material cost/ EP(Material)

= 57400 + 1879400 / 538000

= $ 3.6 per EP(m)

C(conversion) = Total conversion cost / EP (conversion)

= 23700 + 1214320 /518000

= $2.39 per EP(C)

3. Cost of Units finished and transferred

= Transferred Units * (EP(m) + EP(C))

=506000 *(3.6+2.39)

= 506000*5.99

=3030940

Cost of closing WIP = WIP units (m) * EP(m) + WIP units (C) * EP (C)

= 32000 * 3.6 + 16000 * 2.39

= 115200 + 38240

= 153440

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