Page 266 - DCOM303_DMGT504_OPERATION_RESEARCH
P. 266

Unit 13: Inventory Control




          Solution:                                                                             Notes
          1.   Calculation of ordering cost per order
                                       `
                                     =           = ` 0.81 per order


          2.   Calculation of carrying cost
                                        `
                                     =           = × 100 = 17%
                                       `
               (i)  Purchase Price/year

                                     = 760 pieces × ` 12 = ` 9,120
               (ii)  Purchase expenses per year
                                     = 760 pieces/10 Lot size
                                     = 76 orders

                                     = 76 orders × Re. 0.81/order
                                     = ` 61.56
          3.   Storage expenses per year


                                     =     × ` 12 ×    = ` 10.20

          4.   Capital cost per year

                                     =               = ` 6.00

          5.   Total Cost = (a) + (b) + (c) + (d) = ` 9,197.76


                Example: The annual demand for an item is 3,200 units. The unit cost is ` 6 and inventory
          carrying charges 25% p.a. If the cost of one procurement is ` 150, determine:
          1.   EOQ
          2.   Number of orders p.a.
          3.   Time between two consecutive order

          Solution:
          1.   Calculation of EOQ


                                     =

               Where,              O  = ` 150 per order
                                   U  = 3,200 units
                                   C  = 25% p.a.
                                   P  = ` 6/unit







                                           LOVELY PROFESSIONAL UNIVERSITY                                   261
   261   262   263   264   265   266   267   268   269   270   271