Question

In: Statistics and Probability

Home Warehouse is considering marketing one of two new electric saws for the coming holiday season:...

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.

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