$($Using the same problem$)$ A vendor for the local ballpark food stand is questioning whether to stock his concession with a large or small inventory. He believes that it will depend

upon the size of the crowd. He has developed a payoff matrix for the various alternatives $($stocking decision$)$ and states of nature $($size of crowd$).$ What is the Expected Value of

Perfect Information $($EVPI$)?$

A$)$ $$68,400$

B$)$ $$78,400$

C$)$ $$10,000$

D$)$ $$20,000$

E$)$ $$51,500$