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THE TAIWAN ELECTRONIC COMMUNICATIONS (TEC) PROBLEM  117


                                                 Max 90A þ 84B þ 70C þ 60D
                                                 s:t
                                                      10A þ 8B þ 9C þ 15D   5000  Advertising budget
                                                       2A þ 3B þ 3C        1800 Salesforce availability
                                                        A þ  B þ  C þ  D ¼ 600 Production level
                                                                  C         150 Retail stores requirement
                                                        A; B; C; D   0

                                      Computer Solution and Interpretation
                       EXCEL file
                                      A portion of the output obtained using Excel to solve the TEC problem is shown in
                            TEC
                                      Figure 3.14. The Objective Function Value section shows that the optimal solution to

                      Figure 3.14 A Portion of the Excel Computer Output for the TEC Problem


                          Target Cell (Max)
                                                             Original
                                   Name                        Value                     Final Value
                                   Obj
                                Function                             0                      48450
                          Adjustable Cells
                                                             Original
                                   Name                        Value                     Final Value
                                    A                                0                        25
                                    B                                0                        425
                                    C                                0                        150
                                    D                                0                         0
                          Constraints

                                   Name            Cell Value                Status             Slack
                              Advertising                 5000            Binding                    0
                              Salesforce                  1775            Not Binding               25
                              Production                    600           Binding                    0
                              Retail                        150           Binding                    0

                          Adjustable Cells
                                               Final   Reduced    Objective      Allowable     Allowable
                                   Name        Value     Cost    Coefficient     Increase       Decrease
                                     A             25         0            90         1E+30              6
                                     B           425          0            84             6             34
                                     C           150          0            70            17         1E+30
                                     D              0        45            60            45         1E+30

                          Constraints
                                               Final     Shadow   Constraint     Allowable     Allowable
                                   Name        Value     Price     R.H. Side     Increase       Decrease
                               Advertising      5000          3          5000            850            50
                               Salesforce       1775          0          1800          1E+30            25
                               Production        600         60           600   3.571428571             85
                               Retail            150        –17           150             50          150



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