A manufacturing company intends to develop an application software for automating its design process. The task details associated to the project are shown in Table 1 below. The duration of each task follows a Beta distribution. Project crashing up to a maximum of 2 days per task is allowed, with the exception of tasks B and J, subject to the crash costs being met. Task Task Details Time (days) Preceding Crash Optimistic Most Pessimistic Task Cost per likely day ($) A High-level analysis. 2 5 7 Nil 700 B Selection of hardware platform. 1 1 2 A 1500 C Installation and commissioning of 1500 hardware. 6 10 12 B D Detailed analysis of core modules. 6 10 13 A 1500 E Detailed analysis of supporting modules. 6 10 12 D 1000 F Programming of core 800 modules. 5 10 15 D G Programming of supporting modules. 10 15 20 E 800 H Quality assurance of core modules. 2 5 7 F 1000 Quality assurance (QA) of supporting modules. 2 5 G 1500 Core module training. 1 1 CH 1500 K Development and QA of N OO accounting reporting. 2 5 E 1000 L Development and QA of management reporting. 3 5 8 1000 M Development of Management Information 500 System. N Detailed training. 3 8 I, J, K, M 1200