Renesmee Corporation is a chemical company. The research and development manager is trying to decide whether or not to develop a new solvent that would work at all conditions. It is thought that the solvent project may be a major success with an estimated value of $ 500,000, a moderate success with an estimated value of $200,000 since it can be sold to another company to help with its current project or a total failure. If the project is a failure it will cost the company $450,000.Based on the subjective judgment of the manager, the following probabilities are assigned to the three possibilities. P (major success) = 0.40 P (moderate success) = 0.30 P (failure) = 0.30 a) Construct a decision tree for this problem. What is the optimal decision strategy and its expected value? b) What is the expected value of perfect information? Explain what it means.