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Operations Research




                    Notes          Step 2: Fix up the graphic scale
                                               Maximum points = 66
                                               Minimum points = 20
                                                         1 cm. = 10 points

                                   Step 3: Graph the data




































                                   Step 4: Find the co-ordinates of the corner points

                                           Corner points               x1                       x2
                                               O                          0                       0
                                               A                         20                       0
                                                B                        20                       6
                                                C                       10.5                    34.5
                                               D                          5                      40
                                                E                         0                      40

                                   At                      ‘C’ = 3x  + x  = 66                            …..(1)
                                                                 1   2
                                                      (-) x  + x  = 45                                    …..(2)
                                                         1  2
                                                           2x  = 21
                                                            1
                                   Therefore               x  = 10.5
                                                            1
                                   Substituting x  10.5 in eq. (2)
                                              1
                                   Therefore            x  + x  = 45
                                                         1  2





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