SCENARIO $1(25$ Points$)$You are the project manager for a new project which your company has won the bid. You have figured out the following dependencies:Activity A can start immediately and similar same size activities to this one has occurred many times in the previous projects by $3$ weeks. Activity B can start after activity A is completed. This activity has many uncertainties, therefore by taking beta distribution, team member provided you with range of estimates $4,2,3$ weeks. Activity C can start after activity A is completed. This activity is considered the risky activity, thus by taking triangular distribution, you were provided by team member the following range of estimates $7,5,6$ weeks. Activity D can start after activity B is completed. This activity has $4$ units need to be completed in total, and historically each unit has been taken $2$ weeks of duration. Activity E is a path convergence by having predecessor activates D and C with FS relationship. This activity takes $4$ weeks.YOUR WORK$1.$ What is the duration of the Critical Path?$2.$ What is the float of activity C$?3.$ What is the f$1$oat of activity B$?4.$ What is the float of the path with the longest float?$5.$ The resource working on activity C is replaced with another resource who is less experienced. The activity will now take $10$ weeks. How will this affect the project?