management science

1. A project has been subdivided into five tasks. The structure of the project, the activity durations, limits of acceleration of the activities, and acceleration costs are shown in the table below. Activity Immediate predecessor Normal time (days) Crash time (days) Unit cost of acceleration 10 20 40 A B DA, C E B, C 30 D 6 5 (a) Draw the project network and, given normal times, determine the critical path. What is the project duration? (b) Accelerate the project as much as possible, one day at a time to its shortest possible duration. (c) The firm has signed a contract that specifies that the project must be finished within 13 days. Should the project not be finished at that time, it calls for a penalty of $100. What is your advice to the manager