The following table shows the activities for a project.

TIME $($WEEKS$)$ COST $($$$)$

ACTIVITY IMMEDIATE

PREDECESSOR$($S

$)$

NORMAL CRASH NORMAL CRASH AVAILABL

E WEEKS

OF

CRASHING

CRASHIN

G COST $/$

WEEK

A Start $323,0003,300$

B Start $648,0009,000$

C A $114,0004,000$

D A $543,5004,000$

E B $434,7505,500$

F C $222,0002,000$

G D $114,0004,000$

H D$,$F $323,5003,750$

I E$,$G $323,0004,250$

J E $215,0007,000$

Finish H$,$ I, J $--------$

a$.$ Draw the network diagram.

b$.$ What is the critical path for the project using the normal time?

c$.$ Complete the table by filling the missing information.

d$.$ How many week$($s$)$ of crashing are available for activity E$?$

e$.$ Which activity should be crashed first?

$6.(12$ pts$)$ A professor records the number of complaints from his students each semester

throughout a $15-$semester period. The sample size for each sample is $50$ students, what are $3-$

sigma control limits for this class? Construct a control chart and interpret the data.