Problem $5-11($Algo$)$

There is an $84$ percent chance the project below can be completed in X weeks or less.

A diagram shows circles labeled A$,$ B$,$ C$,$ D and E$.$ A connects to B and C$.$ B leads to D and C to E$.$

ACTIVITY MOST OPTIMISTIC MOST LIKELY MOST PESSIMISTIC

A $4314$

B $555$

C $3510$

D $5811$

E $41010$

What is X$?$

Note: Do not round intermediate calculations. Round your answer to the nearest whole number.