A CEO of a multihospital system is planning to expand operations into various states. It will take several years to get certificate of need (CON) approvals so that the new facilities can be constructed. The eventual cost (in millions of dollars) of building a facility will differ among states, depending upon finances, labor, and the economic and political climate. An outside consulting firm estimated the costs for the new facilities as based on declining, similar, or improving economies, and the associated probabilities as shown in the Table below. Decision alternatives Declining Same Improving Kentucky 22.00 19.00 15.00 Maryland 19.00 18.50 18.00 North carolina 19.50 17.00 15.50 Tennesee 23.00 17.00 14.00 Virginia 25.00 21.00 13.00 (a) Which alternative should the firm choose under the maximax criterion? (b) Which option should the firm choose under the maximin criterion? (c) Which option should the firm choose under the LaPlace criterion?
A CEO of a multihospital system is planning to expand operations into various states. It will take several years to
get certificate of need (CON) approvals so that the new facilities can be constructed. The eventual cost (in millions
of dollars) of building a facility will differ among states, depending upon finances, labor, and the economic and
political climate.
An outside consulting firm estimated the costs for the new facilities as based on declining,
similar, or improving economies, and the associated probabilities as shown in the Table below.
Decision alternatives Declining Same Improving
Kentucky 22.00 19.00 15.00
Maryland 19.00 18.50 18.00
North carolina 19.50 17.00 15.50
Tennesee 23.00 17.00 14.00
Virginia 25.00 21.00 13.00
(a) Which alternative should the firm choose under the maximax criterion?
(b) Which option should the firm choose under the maximin criterion?
(c) Which option should the firm choose under the LaPlace criterion?
(d) Which option should the firm choose with the Hurwicz criterion with α = 0.4?
(e) Using a minimax regret approach, what alternative should the firm choose?
(f) Economists have assigned probabilities of 0.25, 0.40, and 0.35 to the possible economic climate of
declining, same and improving respectively. Using
chosen and what is that optimal expected value?
(g) What is the most that the firm should be willing to pay for additional information? Use Expected Regret
(h) Use the alternative method to verify EVPI
Assume now that the pay offs are costs answer the following:
(a) Using an optimistic approach (maximax), which option would you choose?
(b) Using a pessimistic approach (maximin), which option would you choose?
(c) If you are a LaPlace decision maker, which option would you choose?
(d) If you are a Hurwicz decision maker, which option would you choose with α = 0.2?
(e) Using a minimax regret approach, which option would you choose?
(f) Using the same probabilities of 0.35, 0.3, and 0.35 for possible interest levels 1, 2, 3
respectively, which decision alternative will minimise the expected cost? What is the
expected annual cost associated with that recommendation?
g) What is the most the firm should be willing to pay to obtain further (perfect)
information (EVPI)?
h) Use the alternative method to verify EVPI
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