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 \(\$ 3,000\) 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. Carry all intermediate computations to four decimal places.

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