An investor is considering 2 investments, A, B, which can be purchased now for $10. There is a 40% chance that investment A will grow rapidly in value and a 60% chance that it will grow slowly. If A grows rapidly the investor can cash it in for $80 or trade it for investment C which has a 25% chance of growing to $100 and a 75% chance of reaching $80. If A grows slowly it is sold for $50. There is a 70% chance that investment B will grow rapidly in value and a 30% chance that it will grow slowly. If B grows rapidly the investor can cash it in for $100 or trade it for investment D which has a 20% chance of growing to $95 and an 80% chance of reaching $80. If B grows slowly it is sold for $45.

a)Draw the decision tree for this problem.

b)what is the EMV

c)what strategy would you implement?