The Institute of Computing and Information Technology; is developing a new micro computer system specically designed for use in small accounting practices. The system comes complete with standard W to deal with the routine preparation of accounts. The production of the system for a particular practice, with the necessary.r amendme required, can be split into the following eight activities. The actual details are still a commercial secret). It is possible to reduce the total time for production below the normal total time by crashing certain activities [in units of 1 week] at extra costs. The relevant gures are given below in this table. __ Activity Preceding Duration Cost Duration Cost acti' weeks weeks In addition to the above cost gures, there is a $2M: per week charge for variable overhead incurred during the production of the system. Required I. II. III. Using the normal durations and costs, determine the critical path and its length. What is the total cost of the project in this case? What would he the duration of the project if the total cost is to he minimized? \f