Done $2024$ Spring Exam$\_$SEC...

$[$Question $1722]$ Kim is planning to invent a new recipe for his signature fried chicken store. Kim has determined the activities required to complete the project, the precedence relationships of the activities, and activity time estimates, as shown in the following table:

$\backslash$table$[[$Letter$,$Name,Predecessor,Best,Most,Worst$],[$A$,$Create a new recipe,,$4,7,16],[$B$,$Buy chickens,,$2,5,8],[$C$,$Buy sauces,$A,B,7,7,7],[$D$,$Market Research,C$,6,9,12],[E,$Cost Analysis,C$,5,8,11],[F,$Fried Chicken Design,C$,3,6,9],[$G$,$Product Testing,$D,E,7,10,13],[H,$Pricing,$E,F,6,9,12],[$I$,$Sales Marketing,$G,4,10,16]]$

Determine the expected project duration & variance to answer for following questions. $($Use PERT$)$

$17.$ Identify the critical path.

a$)A-B-E-H$

b$)A-C-E-F-H$

c$)A-C-D-G-I$

d$)B-C-F-H$

e$)B-C-E-G-I$

$18.$ What is the project duration for the above network?

a$)36$

b$)38$

c$)42$

d$)44$

E$)46$

Page $9$ of $10$

Kim will give up his recipe if the recipe invention takes more than $50$ weeks.

$19.$ What is the z$-$score that Kim will give up his recipe development?

a$)00\mathrm{.}5$

b$)0\mathrm{.}51\mathrm{.}0$

c$)1\mathrm{.}01\mathrm{.}5$

d$)1\mathrm{.}52\mathrm{.}0$

e$)2\mathrm{.}02\mathrm{.}5$

$20.$ Determine the probability that Kim will give up his recipe development.

a$)020\%$

b$)2040\%$

c$)4060\%$

d$)6080\%$

e$)80100\%$

Kim decides to make a new recipe if he can finish his current project in $43$ weeks.

$21.$ What is the $z-$score that Kim will decide to invent new recipe?

a$)-0\mathrm{.}50$

b$)-1\mathrm{.}0-0\mathrm{.}5$

c$)-1\mathrm{.}5-1\mathrm{.}0$

d$)-2\mathrm{.}0-1\mathrm{.}5$

e$)-2\mathrm{.}5-2\mathrm{.}0$

$22.$ Determine the probability that Kim will create his new recipe.

a$)020\%$

b$)2040\%$

c$)4060\%$

d$)6080\%$

e$)80100\%$

$[$Question $1722]$ Kim is planning to invent a new recipe for his signature fried chicken store. Kim has determined the activities required to complete the project, the precedence relationships of the activities, and activity time estimates, as shown in the following table:

$\backslash$table$[[$Letter$,$Name,Predecessor,Best,Most,Worst$],[$A$,$Create a new recipe,,$4,7,16],[$B$,$Buy chickens,.,$2,5,8],[$C$,$Buy sauces,A$,$ B$,7,7,7],[$D$,$Market Research,C$,6,9,12],[$E$,$Cost Analysis,C$,5,8,11],[$F$,$Fried Chicken Design,C$,3,6,9],[$G$,$Product Testing,D$,$ E$,7,10,13],[$H$,$Pricing,E$,$ F$,6,9,12],[$I$,$Sales Marketing,G$,4,10,16]]$

Determine the expected project duration & variance to answer for following questions. $($Use PERT$)$

$17.$ Identify the critical path.

a$)A-B-E-H$

b$)A-C-E-F-H$

c$)A-C-D-G-I$

d$)B-C-F-H$

e$)B-C-E-G-I$

$18.$ What is the project duration for the above network?

a$)36$

b$)38$

c$)42$

d$)44$

E$)46$

Page $9$ of $10$

Kim will give up his recipe if the recipe invention takes more than $50$ weeks.

$19.$ What is the z$-$score that Kim will give up his recipe development?

a$)00\mathrm{.}5$

b$)0\mathrm{.}51\mathrm{.}0$

c$)1\mathrm{.}01\mathrm{.}5$

d$)1\mathrm{.}52\mathrm{.}0$

e$)2\mathrm{.}02\mathrm{.}5$

$20.$ Determine the probability that Kim will give up his recipe development.

a$)020\%$

b$)2040\%$

c$)4060\%$

d$)6080\%$

e$)80100\%$

Kim decides to make a new recipe if he can finish his current project in $43$ weeks.

$21.$ What is the z$-$score that Kim will decide to invent new recipe?

a$)-0\mathrm{.}50$

b$)-1\mathrm{.}0-0\mathrm{.}5$

c$)-1\mathrm{.}5-1\mathrm{.}0$

d$)-2\mathrm{.}0-1\mathrm{.}5$

e$)-2\mathrm{.}5-2\mathrm{.}0$

$22.$ Determine the probability that Kim will create his new recipe.

a$)020\%$

b$)2040\%$

c$)4060\%$

d$)6080\%$

e$)80100\%$