$(14$ points$)$ Consider the pay$-$off table below, with three alternatives Aj and three states of nature Sj in $$.$ Let P$($S$1)=0\mathrm{.}30,$ P$($S$2)=0\mathrm{.}50,$ P$($S$3)=0\mathrm{.}20.$

Alternative

S$1($$$)$

S$2($$$)$

S$3($$$)$

A$1$

$50$

$70$

$100$

A$2$

$90$

$40$

$80$

A$3$

$70$

$60$

$90$

Develop an opportunity loss table. $($Round the final answer to the nearest dollar.$)$

pay$-$off table $(4$ marks$)$

Compute the expected opportunity losses for each of the alternatives. $($Round the final answer to the nearest dollar.$)(10$ marks$)$