DECISION ANALYSIS
The Department of Health is in the process of choosing four hospitals that will act as COVID-19 facilities. Below are the costs the DOH will incur in selecting these hospitals.
Alternative |
S1 = Emergency Use |
S2 = Ward Use |
S3 = ICU Use |
Hospital A (HA) |
50,000 |
35,000 |
90,000 |
Hospital B (HB) |
35,000 |
45,000 |
55,000 |
Hospital C (HC) |
45,000 |
25,000 |
60,000 |
Hospital D (HD) |
60,000 |
45,000 |
80,000 |
It was found out that the probability of S1 is 45%, and the probability of S2 is 50%, what would be the decision (Use HA, HB, HC, or HD)________ of DOH and how much is the expected expenses__________ to the health agency if hospital A provides 20% discount, hospital B gives 15% discount, and hospital D offers a 25% discount. Hospital C does give discount because it is a government hospital
Probability | 0.45 | 0.5 | 0.05 | ||||
Alternative | S1 Emergrncy use | S2 ward use | S3 ICU use | Total | Discount | Final cost | Ranking |
Hospital A | 50000 | 35000 | 90000 | 20% | |||
prob use | 22500 | 15750 | 40500 | 78750 | 15750 | 63000 | IV |
Hospital B | 35000 | 45000 | 55000 | 15% | |||
prob use | 15750 | 20250 | 24750 | 60750 | 9112.5 | 51637.5 | I |
Hospital C | 45000 | 25000 | 60000 | 0 | |||
prob use | 20250 | 11250 | 27000 | 58500 | 0 | 58500 | II |
Hospital D | 60000 | 45000 | 80000 | 25% | |||
prob use | 27000 | 20250 | 36000 | 83250 | 20812.5 | 62437.5 | III |
As the cost is less of Hospital B is less, it should be selected by DOH
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