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Operations Research




                    Notes
                                                             =

                                   (b)  Calculation of Reorder Level
                                                             = Maximum Lead Time × Maximum Usage


                                                             =   
                                                             = 100 units
                                   (c)  Calculation of Total Annual Inventory Cost

                                          Cost of 2,400 units at ` 2.40, =                  ` 5,760.00
                                                      2,400
                                          Ordering cost =   = 9.3 order = or 10 orders at ` 4
                                                       258                                      40.00
                                                                     258                        37.15
                                          Carrying cost of average inventory =   × ` 0.288 =
                                                                      2
                                          Total cost                                           5837.15

                                   (d)  If the unit price is ` 5, then EOQ
                                                                           `
                                                               =
                                                                     `


                                                               =

                                                               = 179 units

                                                Number of orders =     = 13.4 orders or 14 orders

                                   (e)

                                                  Total cost of inventory at the revised price    (`)
                                          Cost of 2,400 units at ` 5/unit                         12,000.00
                                          Ordering cost (14 orders ` 4/order                        56.00
                                          Carrying cost of average inventory = 179/2 × ` 5 × 12/100   53.70
                                          Total cost…..                                           12,109.70

                                   Therefore,
                                   Difference in total inventory cost is:
                                              (` 12.109.70 – 5,837.15) = ` 6,272.55


                                        Example: For the following inventory problem find out:
                                   1.  How much should be ordered each time?
                                   2.  When should the order be placed?

                                   3.  What should be the inventory level (ideally) immediately before the material ordered is
                                       received?
                                        Annual consumption (360 days)     12,000 units




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