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PRODUCTION MANAGEMENT APPLICATIONS  151


                                      Figure 4.2 The Management Scientist Solution for the Bollinger Electronics Problem

                                         Objective Function Value =           225295.000

                                              Variable               Value              Reduced Costs
                                           --------------       ---------------       -----------------
                                                 X11                    500.000                   0.000
                                                 X12                   3200.000                   0.000
                                                 X13                   5200.000                   0.000
                                                 X21                   2500.000                   0.000
                                                 X22                   2000.000                   0.000
                                                 X23                      0.000                   0.128
                                                 S11                      0.000                   0.172
                       EXCEL file                S12                    200.000                   0.000
                                                 S13                    400.000                   0.000
                          BOLLINGER
                                                 S21                   1700.000                   0.000
                                                 S22                   3200.000                   0.000
                                                 S23                    200.000                   0.000
                                                 I1                     500.000                   0.000
                                                 I2                    2200.000                   0.000
                                                 I3                       0.000                   0.072
                                                 D1                       0.000                   0.700
                                                 D2                       0.000                   0.700
                                                 D3                       0.000                   0.628

                                             Constraint          Slack/Surplus           Dual Prices
                                           --------------       ---------------       -----------------
                                                  1                       0.000                 –20.000
                                                  2                       0.000                 –10.000
                                                  3                       0.000                 –20.128
                                                  4                       0.000                 –10.150
                                                  5                       0.000                 –20.428
                                                  6                       0.000                 –10.300
                                                  7                       0.000                 –20.728
                                                  8                       0.000                 –10.450
                                                  9                     150.000                   0.000
                                                 10                      20.000                   0.000
                                                 11                      80.000                   0.000
                                                 12                     100.000                   0.000
                                                 13                       0.000                   1.111
                                                 14                      40.000                   0.000
                                                 15                    4900.000                   0.000
                                                 16                       0.000                   0.000
                                                 17                    8600.000                   0.000
                                                 18                       0.000                   0.500
                                                 19                       0.000                   0.500
                                                 20                       0.000                   0.428





                                         McCormick Manufacturing Company produces two products with contributions
                                      to profit per unit of E10 and E9, respectively. The labour requirements per unit
                                      produced and the total hours of labour available from personnel assigned to each
                                      of four departments are shown in Table 4.7. Assuming that the number of hours




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