There are three equally likely states of nature $($High$,$ Medium, and Low demand$).$ If the large factory will post profits of $$50,000,$$$25,000,$ and $-$$$10,000$ under these states of nature, respectively, what is the EMV of the factory?

Select one:

a$.$ $$28,333\mathrm{.}33$

b$.$ $$25,000$

c$.$ $$65,000$

d$.$ $$21,666\mathrm{.}67$

e$.$ $$50,000$