Project Management –The estimating problem

please help me complete the following question in relation to the case study which I have uploaded.

questions —
1) How many different estimating techniques were diagnosed in the case?

2) If each estimate is different, how does a project manager decide that one estimate is  better then another?

3) if you were the project manager, which estimate would you use?

please provide 2 references as well.

Thank you

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