Decision Tree A company is making a decision about ordering a new product to sell during the summer season. They are deciding whether or not to undertake market research to evaluate the potential market for the product. They have only one opportunity to order the product for this season and are committed to making either a small order or a large order. If they choose not to undertake the research, they can make one of two choices: place a large order or place a small order. If they place an order the probability that demand is high is 60% and that demand is low is 40%. If they undertake the market research, the chance that they will get favourable results is 55% and unfavourable results is 45%. If they get unfavourable results, the probability of high demand is 30% and of low demand is 70%. If they get favourable results, the probability of high demand is 80% and of low demand is 20%. The cost of doing the research is $10,000 and needs to get subtracted from the net return when you do market research, If they place a small order and demand is low the net return is $10,000. If they place a small order and demand is high the net return is $100,000. If they place a large order and demand is low the return is $-50,000. If they place a large order and demand is high the net return is $200,000. If they do market research, and the market is favourable, and they small order, what is the expected value of this branch? Answer with a whole number. Now consider only the "no market research branch of your decision tree (there should be one). If someone could tell you definitively whether demand would be high or low (without doing market research), what would be the expected value with perfect information? Answer with a whole number. Now consider only the "no market research" branch of your decision tree (there should be one). If someone could tell you definitively whether demand would be high or low (without doing market research), what would be the expected value of perfect information? Answer with a whole number