A manager is attempting to assess the probability of a recession ending in the next six months and its impact on expected profitability. The manager believes there is a $70$ percent chance the recession will end in six months and profits will return to $$40$ million. However, there is a $30$ percent chance the recession will not end in six months, resulting in a $$5$ million loss. The expected profits over the next six months are

Multiple Choice

$$20\mathrm{.}2$ million.

$$30\mathrm{.}5$ million.

$$26\mathrm{.}5$ million.

$$35\mathrm{.}5$ million.