Suppose we are given the following data for a project:

There is no penalty if the project is completed on or before the normal PERT duration. However, a penalty of $3000 is charged for each day that the project lasts beyond the normal PERT duration. Using standard probability approach, find the expected dollar penalty for this project. Note: Carry all intermediate computations to four decimal places.

Activity Predecessor PERT Duration Duration A B A C A D A E F C, D B, E 457289 0.5000 5 1.0000 0.2500 0.3000 0.3750 0.4375