High Grade must decide if they are going to introduce a new wine. Management feels that if it does introduce the new wine, it will yield a profit of $$2\mathrm{.}5$ million if sales are around $250$ million bottles, a profit of $$350,000$ if sales are around $40$ million bottles, or it will lose $$1\mathrm{.}5$ million if sales are only around $1/2$ million bottles. If High Grade does not introduce the new wine, it will suffer a loss of $$400,000$ for the research and development spent on developing the new soda. An internal marketing research study has found probabilities as follows: P$(250$ million in sales$)=1/5$; P$(40$ million in sales$)=1/2$; and P$(1/2$ million in sales$)=3/10$

Draw the decision tree that captures this problem

Analyze the tree to justify your explanation regarding whether High Grade should introduce the new wine.