A gentleman farmer maniacally works on academic projects to raise funds for his true passion,farming.He has identified seven tasks and developed three time estimates (all in days)of the next big project on the farm,replacing the fence at the comedy pasture.Tasks,precedence requirements,and time estimates are shown in the table.What is the probability that the project takes more than 34 days? \(\begin{array}{|l|l|l|l|l|} \hline \text { Activity } & \begin{array}{l} \text { Optimistic } \\ \text { time } \end{array} & \begin{array}{l} \text { Most Likely } \\ \text { time } \end{array} & \begin{array}{l} \text { Pessimistic } \\ \text { time } \end{array} & \text { Predecessor } \\ \hline \text { Corner Posts } & 4 & 5 & 6 & \text { - } \\ \hline \text { String Line } & 7 & 8 & 9 & - \\ \hline \text { Dig Holes } & 10 & 12 & 14 & \text { Corner Posts } \\ \hline \text { Plant Posts } & 11 & 14 & 17 & \text { String Line } \\ \hline \text { Weld Top Bar } & 8 & 11 & 14 & \text { String Line } \\ \hline & & & & \text { Dig Holes, Plant } \\ \text { Paint } & 9 & 11 & 13 & \text { Posts } \\ \hline \text { Tack Wire } & 9 & 12 &16& \text { Weld Top Bar } \\ \hline \end{array}\)

A) 0.788 B) 0.212 C) 0.945 D) 0.055 A) 0.788 B) 0.212 C) 0.945 D) 0.055

Use the information in the table to sketch the network and compute early and late start times. \[\begin{array} { | l | l | l |} \hline\text { Activity } & \text { Time } & \text { Predecessor } \\ \hline \text { A } & 8 & \\ \hline \mathrm{B }& 4 & \mathrm{A} \\ \hline \mathrm { C } & 5 & \mathrm { B }, \mathrm {~F} \\ \hline \mathrm { D } & 12 & \mathrm {~A} \\ \hline \mathrm { E } & 8 & \mathrm { D } \\ \hline \mathrm { F } & 4 & \mathrm { D } \\ \hline \mathrm { G } & 9 & \mathrm { E } , \mathrm {~F} \\ \hline \mathrm { H } & 12 & \mathrm { G } \\ \hline \mathrm { I } & 6 & \mathrm { C } , \mathrm { G } \\ \hline \mathrm { J } & 5 & \mathrm { I } \\ \hline \mathrm { K } & 9 & \mathrm { H } \\ \hline \mathrm { F } & 12 & \mathrm {~J} , \mathrm {~K} \\ \hline \end{array}\]

The early and late start times are shown

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