The following is the payoff matrix for two alternate plans. Assume the probability of the market being receptive is known to be $0\mathrm{.}70($thus$,$ probability of the market being unfavorable is $0\mathrm{.}30).$

Decision Alternatives Market Receptive S$1$ Market Unfavorable S$2$

Plan a $$50000$ $$15000$

Plan b $$60000$ $$5000$

At what probabilities of states of nature S$1($

$)$ and S$2($

$)$ would the Expected Monetary value of Plan b$,$ EMV $($Plan b$)=$ $ $40000?$

Group of answer choices