Mick Karra is the manager of MCZ Drilling products which produces a variety of especially valves for oil field equipment. Recent activity in the oil fields has cause demand to increase drastically, and a decision has been made to open a new manufacturing facility. Three locations are being considered, and the size of the facility would not be the same in each location Thus, overtime might be necessary at times. The folowing table gives the total monthly cost (in 1000s) for each possible location under each demand posibility. The probabilities for the demand levels have been determined to be 20% for low demand, 30% for medium demand, and 50% for high demand     Demand is Low Demand is medium Demand is High Ardmore, OK 85 110 150 Sweetwater, TX 90 100 120 Lake Charles, LA 110 120 130 (a) Which location would be selected based on the optimistic criterion? (b) which location would be selected based on the pessimistic criterion? (c) which location would be selected based on the minimax regret criterion?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
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Mick Karra is the manager of MCZ Drilling products which produces a variety of especially valves for oil field equipment. Recent activity in the oil fields has cause demand to increase drastically, and a decision has been made to open a new manufacturing facility. Three locations are being considered, and the size of the facility would not be the same in each location Thus, overtime might be necessary at times. The folowing table gives the total monthly cost (in 1000s) for each possible location under each demand posibility. The probabilities for the demand levels have been determined to be 20% for low demand, 30% for medium demand, and 50% for high demand

 

  Demand is Low Demand is medium Demand is High
Ardmore, OK 85 110 150
Sweetwater, TX 90 100 120
Lake Charles, LA 110 120 130

(a) Which location would be selected based on the optimistic criterion?

(b) which location would be selected based on the pessimistic criterion?

(c) which location would be selected based on the minimax regret criterion?

(d) which location should be selected to minimize the expected cost of operation?

(e) How much is a perfect forecast of the demand worth?

(f) which location would minimize the expected opportunity loss?

(g) what is the expected value of perfect information in this situation?

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,