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Unit 14: Equivalent Production in Process Costing




               The problem on equivalent production may be divided into four groups.            Notes
               I.   when there is only closing work-in-progress but without process losses

               II.   when there is only closing work-in-progress but with process losses
               III.   when  there  is  only  opening  as  well  as  closing  work-in-progress  without  process
                    losses
               IV.   when there is opening as well as closing work-in-progress with process losses

          Situation I

          Only closing work-in-progress without process losses: In this case, the existence of process loss
          is ignored. Closing work-in-progress is converted into equivalent units on the basis of estimates
          on degree of completion of materials, labour and production overhead. Afterwards, the cost per
          equivalent unit is calculated and the same is used to value the finished output transferred and
          the closing work-in-progress.

          Situation II

          When there is closing work-in-progress with process loss or gain: If there are process losses the
          treatment is same as already discussed in this chapter. In case of normal loss nothing should be
          added to equivalent production. If abnormal loss is there, it should be considered as good units
          completed during the period. If units scrapped (normal loss) have any reliable value, the amount
          should be deducted from the cost of materials in the cost statement before dividing by equivalent
          production units. Abnormal gain will be deducted to obtain equivalent production.

          Situation III

          Opening  and  closing  work-in-progress  without  process  losses:  Since  the  production  is  a
          continuous  activity  there  is  possibility  of  opening  as  well  as  closing  work-in-progress.  The
          procedure of conversion of opening work-in-progress will vary depending on the method of
          apportionment of cost followed viz, FIFO, Average cost Method and LIFO.
          Let us discuss the methods of valuation of work-in-progress one by one.
          (a)   FIFO Method: The FIFO method of costing is based on the assumption of that the opening
               work-in-progress units are the first to be completed. Equivalent production of opening
               work-in-progress can be calculated as follows:
               Equivalent Production = Units of Opening WIP x Percentage of work needed to finish the
               units
          (b)   Average Cost Method: This method is useful when price fluctuate from period to period.
               The closing valuation of work-in-progress in the old period is added to the cost of new
               period and an average rate obtained. In calculating the equivalent production opening
               units will not be shown separately as units of work-in-progress but included in the units
               completed and transferred.
          (c)   Weighted Average Cost Method: In this method no distinction is made between completed
               units from opening inventory and completed units from new production. All units finished
               during the current accounting period are treated as if they were started and finished during
               that period. The weighted average cost per unit is determined by dividing the total cost
               (opening work-in-progress cost + current cost) by equivalent production.
          (d)   LIFO Method: In LIFO method the assumption is that the units entering into the process is
               the last one first to be completed. The cost of opening work-in-progress is charged to the




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