Please

$1.$ construct a project network,

$2.$ follow the PERT$/$CPM scheduling process to find the total time to complete the project,

$3.$ indicate the earliest and latest start and finish dates for each activity in the project network, and

$4.$ Figure out the slack of each activity

$5.$ figure out the critical activities and show the critical path.

Activity Activity Description Immediate Predecessors Activity Time $($weeks$)$

A Develop product design $-4$

B Plan market research $-8$

C Prepare routing $($Manufacturing engineering$)$ A $3$

D Build prototype model A $5$

E Prepare marketing brochure A $2$

F Prepare cost estimates C $3$

G Do preliminary product testing D $4$

H Complete market survey B$,$ E $7$

I Prepare pricing and forecast report H $3$

J Prepare final report F$,$G$,$I $2$

Total $41$