The scientists at Vegetron have come up with an electric mop and the firm is ready to go ahead with pilot production and test marketing. The preliminary phase will take a year and cost $150,000 at time = 0. Management feels that there is only 60% chance that the pilot production and market tests will be successful. If pilot production and test marketing are successful, then Vegetron will build a big plant at a cost of $2 million at time =1. The plant will start generating after-tax cash flows at time = 2. However, the cash flows will depend on demand conditions. If the demand is high, then it will produce cash flows of $600,000 per year for 5 years. If the demand is low, it will produce $400,000 per year for 5 years. The probability that the demand will be high is 60% and that it will be low is 40%. If pilot production and test marketing are not successful, then Vegetron will build a small plant at a cost of $1,000,000 time =1. The plant will start generating after-tax cash flows at time = 2. However, the cash flows will depend on demand conditions. If the demand is high, then it will produce cash flows of $350,000 per year for 5 years. If the demand is low, it will produce $215,000 per year for 5 years. The probability that the demand will be high is 60% and that it will be low is 40%. The appropriate discount rate is 10 percent for this project. Construct a decision tree and determine the project's expected NPV, the standard deviation, and its coefficient of variation. (6 points)