Chris Suit is administrator for Lowell Hospital. She is trying to determine whether to build a large wing on the existing hospital, a small wing, or no wing at all. If the population of Lowell continues to grow, a large wing could return $150,000 to the hospital each year. If a small wing were built, it would return $100,000 to the hospital each year if the population continues to grow. If the population of Lowell remains the same, the hospital would encounter a loss of $85,000 with a large wing and a loss of $45,000 with a small wing. Unfortunately, Suit does not have any information about the future population of Lowell.

a. Assuming that each state of nature has the same likelihood, determine the best alternative? What is the EMV?

b. If the likelihood of growth is .4 and that of remaining the same is .6 and the decision criterion is expected monetary value, which decision should Suit make? What is the EMV?

c. Based on the answer in letter b, what is the EVPI?

Respuesta :

Answer:

A: The best alternative = Build Large Wing with $32500 EMV

B: The best alternative = Build small wing with $13000 EMV

C: EVPI = $47000

Note: Solutions are provided in the pictures.

Explanation:

  • What is EMV? In simple words, EMV calculations let you know that how much money you will got from different decisions you have on table.

Formula to calculate EMV = (Payoff of 1st state of nature) * (Probability of 1st state of nature)  + (Payoff of 2nd state of nature) * (Probability of 2nd state of nature)

  • EVPI is calculated when you have perfect information about any outcome, it also provides the value of the perfect information i-e how much you should pay to findout the perfect information.

Formula to calculate EVPI = EVwPI - Max EMV

  • Formula to calculate EVwPi = (Best outcome or consequence for 1st state of nature) * (Probability of 1st state of nature) + (Best outcome for 2nd state of nature) * (Probability of 2nd state of nature)

A) Solution is in the attached image with (Table 1) mentioned on it.

B) Solution is in the attached image with (Table 2) mentioned on it.

C) Solution is in the attached image with (Table 3) mentioned on it.

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