Problem 2: Resource allocation (10 points) Please use the following information to develop a project plan. In addition to the project activity cost there is a overhead cost of $20/day. The client wants the project to finish by 6 days and they imposed a penalty of $50 per day after day 6, also they will pay a bonus of $50 per day if the project finishes before day 6. Activity a b d% C** Precedence a a a b Duration, Days (normal, crash) 3,2 2,1 2,2 4,1 3,1 Cost (normal, crash) $40,80 20, 80 20, 20 30, 120 10, 80 ** Partial crashing allowed Partial crashing not allowed a. What is your suggestion for the company? Please show all your network diagrams and calculations for each day with a graph showing total cost against number of days.