Your company has developed a new energy drink and you are trying to decide whether to sell the recipe, or make and distribute it yourself.

A company will pay you $$9$ million for the recipe.

If your company makes the drink itself, it will cost $$12$ million to build a factory and distribution network.

Your analytics and marketing teams tell you there is a $30\%$ chance the market response will be great, a $60\%$ chance the market response will be decent with gross earnings of $$15$ million, and a $10\%$ chance the market response will be poor with gross earnings of $$5$ million.

If the market response is great, there is a $30\%$ chance the drink will be the new fad and you will make gross earnings of $$50$ million, a $60\%$ chance the gross earnings will be $$40$ million, and a $10\%$ chance the gross earnings will be $$20$ million.

What is the expected value from the Perfect Information Tree $($just the perfect information tree, not EVPI$).$

Please write your answer in units of $millions, and round to $2$ decimal places. For example, if the answer is $1,250,000,$ you enter it as $1\mathrm{.}25$