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                           Cha p te r
                                    Ele v e n

                                                                      TOTAL COST


                                                                      HOLDING COST
                       $ COST



                                      EOQ





                                                                      ORDERING COST
                            10  20   30  40   50  60   70   80  90  100
                                        ORDER QUANTITY
                     FIGURE 11.4  Economical order quantity.


                          cost is low—fewer requisitions must be processed, and receiving
                          operations are less frequent. This cost tradeoff is shown graphically
                          in Fig. 11.4.
                             The basic data for the inventory problem are the holding costs,
                          the ordering costs, and the expected demand for raw materials and
                          purchased parts. Other factors that may enter into purchasing deci-
                          sions are the lead time (the length of time between purchase order
                          and receipt of the materials or parts) and the availability of quantity
                          discounts.

                          11.4.10 Linear Programming
                          Linear programming is a mathematical method for making the best
                          possible allocation of limited resources (labor hours, machine hours,
                          materials, etc.). It can help management decide how to use its pro-
                          duction facilities most profitably. Suppose, for instance, that the firm
                          produces more than one product, each with a different contribution
                          rate. Management needs to know what combination of quantities
                          produced, given the limitations of its facilities, will bring the highest
                          profit.
                             Three principal concepts must be considered in seeking a solu-
                          tion to the problem:

                              •  The profit function
                              •  The constraints of the problem
                              •  The production characteristics
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