Part $1-$ Based on what you have seen in the table $7\mathrm{.}3,$ draw the critical path through the network diagram for the consumer market study project $($Figure $7\mathrm{.}7)$ and modify the table $7\mathrm{.}3$ if the estimated duration of the Mail Questionnaire & Get Responses task is reduced from $65$ days to $55$ days. Note that the tasks on the critical path now have a total slack of $2,$ the least amount of slack in the project.

$\backslash$table$[[$Consumer Market Study Project,$\backslash$table$[[$Estim$.],[$Dur$.]],$Earliest,Latest,$\backslash$table$[[$Total$],[$Slack$]]],[$Activity$,$Respon.,Start,Finish,Start,Finish$],[1,$Identify Target Consumers,Susan,$3,0,3,-8,-5,-8],[2,$Develop Draft Questionnaire,Susan,$10,3,13,-5,5,-8],[3,$Pilot$-$Test Questionnaire,Susan,$20,13,33,5,25,-8],[4,$Review Comments & Finalize Questionnaire,Susan,$5,33,38,25,30,-8],[$b$,$Prepare Mailing Labels,Steve,$2,38,40,38,40,0],[6,$Print Questionnaire,Steve,$10,38,48,30,40,-8],[7,$Develop Data Analysis Software,Andy,$12,38,50,88,100,50],[8,$Develop Software Test Data,Susan,$2,38,40,98,100,60],[9,$Mail Questionnaire & Get Responses,Steve,$65,48,113,40,105,-8],[10,$Test Software,Andy,$5,50,$bs$,100,105,50],[11,$Input Response Vata,Jim,$7,113,120,103,112,-8],[12,$Analyze Results,Jim,$8,120,128,112,120,-8],[13,$Yrepare Report,Jim,$10,128,138,120,130,-8]]$