Problem #$2$: Your Castle Construction Project $($This problem includes $8$ questions Questions # $15-22)$You are working to build your private castle. You have determined and listed the following $10$ major activities that need to take place to complete your project. The table below $($Table B$)$ gives the detailed input you need for your project tasks and relationships.Table BTable CQuestion #$15$: Assume that you worked from the expect times$($seen in the tables B and C above$)$ and computed the ES$,$ EF$,$ LS$,$ LF$,$ the correct slack times of the project. Which statement is correct?$$Question # $16$: Based on the correct calculations, the correct critical path of your castle project is:Table D$,$ seen below, provides the data related to three estimated $($optimistic$,$ most likely, and pessimistic$)$ project completion times. Use the tables seen below to answer Question # $17.$Table DTable EQuestion # $17$: $-$ Based on the estimated times provided in the tables $($D and E$)$ seen above, correct pairs of expected activity times & standard deviations are given by which of the answers seen below?To answer the next question $($Questions $18$ and $19),$ let us assume that we will use the expected completion times and standard deviation results seen in the first column of Table E$.$ For the uniformity of the class answers, lets also assume that activity times are independently and normally distributed. Moreover, for the sake of uniformity, lets select the sequence path $2-1-3-4-6-9$ to answer Questions # $18$ and $19,$ seenbelow.Question # $18$: $-$ What is the probability that all on the critical path will be completed within $12$ days?Question # $19$: What is the probability that all on the critical path will be completed within $25$ days?Please answer Questions $20,21,$ and $22$ seen below based on the project costs information seen in the appropriate table seen below.Table F$.$Question # $20$: Which one of the answers below best represent the expected cost of the project based on the normal times? Question #$21$: Suppose that you want to reduce your project completion time by $7$ days. You would need to use the proper data in tables E and F to $(1)$ compute the cost per day to crash, and to $(2)$ apply the correct time$/$cost tradeoff analysis, to find out how much would the $7$ days reduction would cost you?Question # $22$: Apply the same time$/$cost tradeoff analysis to cost you to reduce the project completion time by $11$ days.