Please DO NOT COPY AND PASTE answers from previous similar questions. If you are not the one solving the problem, DO NOT ANSWER.

Please DO NOT COPY AND PASTE answers from previous similar questions. If you are not the one solving the problem, DO NOT ANSWER.

A contractor needs to complete the construction of an office building as rapidly as possible. The information for PERT analysis is shown in Table A. Task Predecessors A M B PIN A B D E F G H I Time (Months) 2 1 3 2 3 1 2 3 4 A A B,C D, F E,G GH 1.5 0.5 2.0 1.0 2.5 0.25 1.75 2.0 3.5 2 1 3 2 3 1 2 3 4 3 3 4.5 3 5 2 2.75 5 4.5 al IN Table A d. Calculate the probabilities that the project will be completed within the following number of months: 17, 18 and 19. If the customer offered the contractor the following three options: 1. Complete the construction in 17 months and get a $400,000 bonus. But any delay will cost the contractor a one-time penalty of $200,000. 2. Complete the construction in 18 months and get a $250,000 bonus. But the penalty of any delay is increased to $400,000. 3. Complete the construction in 19 months and get a $180,000 bonus. But the penalty of any delay is increased to $500,000. Assume that the cost of the speedy completion is equal to the extra monthly construction cost among these three options. Which option should you take? Why