Home Warehouse is considering marketing one of two new electric saws for the coming holiday season: XL2000 or the Saw Warrior 3000. XL2000 is a unique saw and appears to have no competition. Estimated profits (in thousands of dollars) under high, medium, and low demand are as follows: XL2000 Profit High $3,000 Probabili 0.2 ty XL 2000 Demand Medium $800 0.5 Low $400 0.2 Minimal $100 0.1 Home Warehouse is optimistic about its Saw Warrior 3000 saw. However, the concern is that profitability will be affected by a competitor's introduction of a electric saw viewed as similar to Saw Warrior. Estimated profits (in thousands of dollars) with and without competition are as follows: Saw Warrior 3000 With Competition Profit Probability Saw Warrior 3000 Without Competition Profit Probability Demand High $800 0.5 High $1,600 0.5 Medium $400 0.2 Low $200 0.1 Demand Medium $800 0.2 Low $400 0.2 Minimal $100 0.2 Minimal $100 0.1 1. Develop a decision tree for the Home Warehouse problem. 2. For planning purposes, Home Warehouse believes there is a 0.7 probability that its competitor will produce a new game similar to Saw Warrior. Given this probability of competition, the director of planning recommends marketing the Saw Warrior saw . Using expected value, what is your recommended decision? 3. List 3 other factors you should advise Home Warehouse to thing about when trying to solve this problem? Think outside the box. Be Creative.