Page 466 - F2 - MA Integrated Workbook STUDENT 2018-19
P. 466

Chapter 18










                   Example 3





                   A company has been approached by their supplier who would be willing to
                   offer a discount on orders over 500 units of 5%.

                   Information regarding current inventory costs is as follows:

                   Holding cost per unit per annum = 10% of purchase price

                   Order costs = $2 per order


                   Annual demand = 15,000 units

                   Purchase price = $15

                   Current EOQ quantity = 200 units

                   The new optimal order quantity is:

                   Order quantity                                  200                            500


                   Purchase costs           15,000 × $15 = $225,000           15,000 × $15 × 95% =
                                                                                             213,750

                   Ordering costs           $2 × 15,000 / 200 = $150         $2 × 15,000 / 500 = $60

                   Holding costs          $15 × 10% × 200/2 = $150         $15 × 95% × 10% × 500 /
                                                                                            2  = $356

                   Total annual cost                         $225,300                       $214,166

                   The new optimal order quantity is 500 units



















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