The following table provides a description for the project Z. Activity Duration Predecessor Cost to crash by 1 day Max days to crash A 5 $ 300 1 B 3 S 100 1 C 4 $ 100 1 D 3 $ 200 4 $ 400 2 $ 4 $ 3 $ E F G H A A B D, E E C 500 300 100 2 3 2 3 2 1. What is the critical path of this project? 2. What is the duration of this project? (before crashing) 3. If your task is to crash this project by 2 days, what is the most efficient cost of doing it? (Just input the number with no decimals or dollar signs) 4. Suppose that the project duration that you have calculated in question 2 (before crashing) is the expected duration of the project. Its variance of the critical path is 4 days. The principal requires you to complete the project before the day 15. If you finish later, you will incur a fine. What is the probability of receiving a fine? 5. Your manager wonders whether or not you should crash the project by 2 days. If you do, the variance of the project duration will remain the same. What is the probability that you will receive a fine? Based on your calculations in Q4 and Q5, would you recommend crashing the project?