3. Decision Tree Analysis (25 points) Consider the following case, then answer the following question. Be sure to show all of your work clearly. You are considering purchasing a machine

for production. A brand-new version of this machine costs $250,000 and is guaranteed to run correctly for the next 3 years. However, you know that a nearby company is selling an older version of this machine "as-is"for $100,000. There's a 70% chance that it will run correctly for the next 3 years. If it runs correctly, no maintenance is required. If it doesn't run correctly,maintenance costs are estimated at $65,000/year. Considering the next 3 years, which machine should you purchase?а.