Only complete question $14.$You are the manager of a project to improve a billing process at your firm. Table $7$ contains the data you will need to conduct a cost analysis of the project. Indirect costs are $$1,600$ per week, and penalty costs are $$1,200$ per week after week $12.$

a$.$ What is the minimum$-$cost schedule for this project?

b$.$ What is the difference in total project costs between the earliest completion time of the project using "normal" times and the minimum$-$cost schedule you derived in part $($a$)?$

Table $8$ contains data for the installation of new equipment in a manufacturing process at Excello Corporation. Your company is responsible for the installation project. Indirect costs are $$15,000$ per week, and a penalty cost of $$9,000$ per week will be incurred by your company for every week the project is delayed beyond week $9.$

a$.$ What is the shortest time duration for this project regardless of cost$?$

b$.$ What is the minimum total cost associated with completing the project in $9$ weeks?

c$.$ What is the total time of the minimum$-$cost schedule?

TABLE $7$ DATA FOR THE BILLING PROCESS PROJECT

$\backslash$table$[[$Activity$,$Immediate Predecessor$($s$),$Normal Time $($weeks$),$Crash Time $($weeks$),$Normal Cost $($$$),$Crash Cost $($$$)],[$A$,-,4,1,5,000,8,000],[$B$,-,5,3,8,000,10,000],[$C$,$A$,1,1,4,000,4,000],[$D$,$B$,6,3,6,000,12,000],[$E$,$B$,$ C$,7,6,4,000,7,000],[$F$,$D$,7,6,4,000,7,000]]$