A new engineer is evaluating whether to use a larger diameter pipe for a water line. It will cost $350,000 more initially, but it will reduce pumping costs. The optimistic, most likely, and pessimistic projections for annual savings are $30,000, $20,000, and $5000, with respective probabilities of 20%, 50%, and 30%. The interest rate has equal probabilities of being either 6, 7, or 8%, and the water line should have a life of 40 years. Compute the expected annual savings and the expected PW of the project