Question 1. [30pts]]You work in a major mechanical and management consultant firm. Your company received a notice to proceed to automate the whole production line of a toy factory from conventional mechanical system to fully computerized system. The planning & estimating department carried out a detailed WBS and prepared activity list, and required number of engineers & technicians. Resources Activity ID Duration Preceding Relationship Lag Engineer Technician A 4 2 3 B 2 SS 2 4 4 C A FS 2 6 st 09 D 4 B 0 2. 3 FS FS,FS E 4 1,0 3 N B,C 11 2 SS 2 3 3 G 3 2. E FS 1 J 3 D SS 2 3 H FS 2 3 3 3 F 4 6 4 G,H, FS,FS, FS 0,0,0 3 3 a) Draw the Gantt chart of the project.(10pts) b) Find needed number of resources for each week. (5pts) Perform resource leveling (First chart without smoothing, second should be smoothened work force requirement) so that there will be no excessive peaks or troughs in engineer and technician work force.(20pts)