topic: engineering math note: do not copy from external sources. i tried and a lot are incorrect.

4TH POST

The Department of Health is in the process of choosing four hospitals that will act as COVID-13 facilities. Below are the costs the DOH will incur in selecting this hospital. Alternative 5, = Emergency Use 5, =Ward Use S5z =ICU Use Hospital A (H,) 50,000 35,000 50,000 Hospital B (Hz ) 35,000 45,000 53,000 Hospital C (H.) 45,000 25,000 60,000 Hospital D (Hp) 60,000 45,000 80,000 a) Assuming the states of nature consist of Emergency Use (5,) and ICU use (5;) only, what will be the probability Blank 1 in percentage that Emergency Use (5,) will always happen if it is acceptable for them to select either Hospital A or Hospital D. Answer in figure and integer value only. b) It was found out that the probability of 5, is 45%, and the probability of 5, is 50%, what would be the decision (Use H,, Hz, H., or Hy) Blank 2 of DOH and how much is the expected expenses Blank 3 to the health agency if hospital 4 provides 20% discount, hospital B gives 15% discount, and hospital D offers a 25% discount. Hospital does give discount because it is a government hospital } What will be the decision Blank 4 of DOH and how much will the cost Blank 5 if it will use the minimax regret criterion? Use H,, Hgz, H., or Hy in answering decision. Answer in figure only