Question $5.$ "Decision Tree" $(15$ marks$)$

a$)$ Use the same example of bill's finding a summer job$($see the material at your hand$)$

with modified values as below, compute the Expected Monetary Value$($EMV$)$ of decision

and event nodes $($A$$B$$C$$D$$E$).$

Compute the EMV of different nodes. $(10$ points$)$

EMV$(A)=$

EMV$(B)=$

EMV$(C)=$

EMV$(D)=$

EMV$(E)=$

b$)$ By doing sensitivity analysis of $P,$ compute the critical value $P^{**}($the dividing point

Bill would change his original optimal strategy$).(5$ points$)$