The following Cost payoff table was obtained from a Real Estate Agent in Victoria, BC for your recommendation.

Decision

Alternatives

States of nature

S$1$

S$2$

S$3$

D$1$

$220$

$100$

$80$

D$2$

$200$

$115$

$60$

D$3$

$250$

$130$

$30$

What is the best expected value if the probabilities are as follows:

P$($S$1)=0\mathrm{.}15.$ P$($S$2)=0\mathrm{.}35.$ P$($S$3)=0\mathrm{.}5$