QUESTION $18$

Consider the following project network with normal activity times $($in weeks$)$ associated with each node. By adding more resources, some activities may be completed in less than their normal time. The crash times and associated costs per week are given in the table below.

Reference: In$-$Class Paper Manufacturing Project

Assume that activity times have been estimated using the Beta distribution. The probability that the project will be completed in $13$ weeks or less is

A$.0\mathrm{.}50$

B$.0\mathrm{.}72$

C$.0\mathrm{.}99$

D$.$ impossible to determine

E$.$ none of the above