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Unit 10: Job and Batch Costing




                                                                                                Notes
                                                2US
                       Economic Batch Quantity =
                                                 C
                                                   ,
                                              224 000 750
                                                      ×
                                                ×
                                             =
                                                   225
                                                    .
                                        EBQ = 4,000 units
                 Example: M/s MBO Bearings Limited is committed to supply 24,000 bearings per annum
          to M/s Ashok Fans on a steady daily basis. It is estimated that it costs 10 paise as inventory
          holding cost per bearing per month and that the set up cost per run of bearing manufacture is
          ` 324.
          (a)   What should be the optimum run size bearing manufacture?
          (b)   What would be the interval between two consecutive optimum runs?
          (c)   Find out the minimum inventory holding cost.
          Solution:

                                                2US
          (a)     Economic Batch Quantity (EBQ) =
                                                 C

                                                 ×
                                                224 000 324
                                                       ×
                                                    ,
                                             =
                                                  01012
                                                   .
                                                      ×
                                        EBQ = 3,600 units
          (b)   Interval between two consecutive optimum runs:
                                              3 600
                                               ,
                                             =     × 30  = 54 days
                                               ,
                                              2 000
          (c)   Minimum inventory cost per annum:
                  Annualpr oduction       
               =                ×  Setupcos t   + (Average inventory × Holding cost per unit × 12)
                       EBQ                
                      × 324
                              ,
                   ,
                 24 000 `    3 600
                                     .
                                        ×
               =            +     ×  ` 01012
                     ,
                    3 600      2
               = ` 2,160 + ` 2,160 = ` 4,320
                 Example: The demand of an item is uniform at a rate of 25 units p.m. The set up cost is
          ` 30 each time a production is made. The production cost is ` 3 per item and the inventory carrying
          cost is 50 paise per unit p.m. If the shortage cost is ` 3 per item p.m. Determine how often to make
          a production run and of what size? Also calculate re-order level.
          Solution:

                                           2US
          (a)      Economic Batch Quantity =
                                            C
                                         2 ×   ×300 30
                                        =
                                           .
                                          05012
                                              ×
                                   EBQ = 55 units



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