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CONSIDERING TIME–COST TRADE-OFFS  399




                                                      A                      D



                                                                                        I

                                                                  C
                                           Start
                                                                             G
                                                                                                  Finish
                                                      B           E
                                                                             H

                                                                  F                     J




                                      The activity time estimates (in weeks) are:

                                           Activity     Optimistic      Most Probable      Pessimistic
                                           A                3.0              4.0               5.0
                                           B                3.0              3.5               7.0
                                           C                4.0              5.0               6.0
                                           D                2.0              3.0               4.0
                                           E                6.0              10.0              14.0
                                           F                7.5              8.5               12.5
                                           G                4.5              6.0               7.5
                                           H                5.0              6.0               13.0
                                           I                2.0              2.5               6.0
                                           J                4.0              5.0               6.0



                                      a. Develop an activity schedule for this project and identify the critical path activities.
                                      b. What is the probability that the project will be completed so that Landon Corporation
                                        may introduce the new product within 25 weeks? Within 30 weeks?
                                  16 Return to the computer installation project in Problem 7 and assume that the project has to
                                      be completed in 16 weeks. Crashing of the project is necessary. Use the following relevant
                                      information.



                                                            Time (weeks)                Cost (E)
                                           Activity      Normal       Crash        Normal       Crash
                                           A               3            1            900        1 700
                                           B               6            3           2 000       4 000
                                           C               2            1            500        1 000
                                           D               5            3           1 800       2 400
                                           E               4            3           1 500       1 850
                                           F               3            1           3 000       3 900
                                           G               9            4           8 000       9 800
                                           H               3            2           1 000       2 000





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