In: Statistics and Probability
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:
XL 2000 | ||||
Demand | ||||
XL2000 | High | Medium | Low | Minimal |
Profit | $3,000 | $800 | $400 | $100 |
Probability | 0.2 | 0.5 | 0.2 | 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 | Demand | |||
With Competition | High | Medium | Low | Minimal |
Profit | $800 | $400 | $200 | $100 |
Probability | 0.5 | 0.2 | 0.1 | 0.2 |
Saw Warrior 3000 | Demand | |||
Without Competition | High | Medium | Low | Minimal |
Profit | $1,600 | $800 | $400 | $100 |
Probability | 0.5 | 0.2 | 0.2 | 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.