Please show work clearky and answer both parts

1. ABC company has to decide whether to build a new plant. ABC is contemplating whether to build the plant at a full scale or first build a pilot plant and based on the performance of the pilot plant, then build the full-scale plant. An estimated cost to build the full-scale plant is $200,000. If the new plant works, ABC could realize a profit of $500,000. If it fails due to a downtum of economy, ABC could realize a profit of only $60.000. You as a consultant estimates 60 percent chance the new plant would fail. The other option is to build a pilot plant first and based on its success, then build a larger plant. The pilot plant would cost $30,000 to build. There is 30% chance the plant will not work. If pilot plant works, there is a 20 percent that the larger plant, if it is built, will not work. If the pilot plant does not work, there is a still 25 percent chance that the larger plant, if built, will work. You, as a consultant, know how to make a decision tree. Analyze this problem by making a decision tree diagram and decide for ABC what decisions ABC should make. Write all payoffs and expected values. Write your decision clearly or a sequence of decisions in your words. (40)