$($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$)?$

$\backslash$table$[[,,$PROFIT $($$$),],[$Alternatives$,$Large,Average,Small$],[$Large Inventory,Crowd,Crowd,Crowd$],[$Small Inventory,$$220,000,$$$50,000,-$$$2,000$