3. Office Automation, Inc., developed a proposal for introducing a new computerized office system that will standardize the electronic archiving of invoices for a particular company. Contained in the proposal is a list of activities that must be accomplished to complete the new office system project. Use the following relevant information about the activities: Activity Normal Cost ($1000s) Crash Cost ($1000s) 30 Description Immediate Normal Crash Predecessor Time Time (weeks) (weeks) Plan needs 10 Order equipment A Install equipment B Set up training labA Conduct training wuct training D course Test system | CE 120 100 70 150 160 40 50 a) Identify the critical path, and what is the expected project completion time? b) Assume that the company wants to complete the project in six months or 26 weeks, use the trial and error method to recommend crashing decisions that will meet the desired completion time at the least possible cost. What will be the total crash cost? And what will be the total cost for the project? c) Formulate the crash problem as a Linear Programming problem. Do not solve the LP