Question
Your company has recently revamped its health care insurance plan. You now have a choice of one of three plans as shown below: Plan 1:
Your company has recently revamped its health care insurance plan. You now have a choice of one of three plans as shown below:
Plan 1: The monthly cost is $32 and the insurer pays 90% of all expenses after you have paid the first $500 each year ($500 deductible).
Plan 2: The monthly cost is $5 and the insurer pays 90% of all expenses after you have paid the first $1200 each year ($1200 deductible).
Plan 3: The monthly cost is $24 and the insurer pays 70% of all expenses (no deductible).
You have gone back several years and examined past medical expenses and created the following probability distribution.
Annual Medical Expenses ($) | Probability |
100 | 0.15 |
500 | 0.30 |
1500 | 0.35 |
5000 | 0.15 |
10000 | 0.05 |
Required:
- Prepare a decision table representation of this problem.
- Prepare a decision tree diagram model of this problem.
- Calculate the expected annual cost for each of the three plans.
- Which plan do you recommend from a minimum cost perspective?
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