Problem 1 (10 points) Part II: Short Answer Problems The R&D department of Smart Electronics is investigating the feasibility of a new product development project. The following table provides all the necessary information about this project: the precedence of activities, normal and crash activity times, and normal and crash costs. Activity Immediate Normal Normal Crash time Predecessors time costs ($) (weeks) Crash costs ($) Crash costs /week ($) (weeks) Start A "Start" 16 1100 10 2300 B "Start" 12 3200 10 3500 "Start" 25 4000 19 4600 D A 10 2500 5 2750 E A, B 20 1400 18 1760 F C 18 4100 15 5000 G E, D 15 2700 14 3000 End G, F (a) Draw a critical path diagram representing the above project (using the normal times). (5 points) (b) If we want to shorten the duration of the whole project by 8 weeks while minimizing the total costs, which activities will you crash and by how many weeks?