White Valley Ski Resort is planning the ski lift operation for its new ski resort. Management is trying to determine whether one or two lits wil be necessary: each lift can accommodate 250 people per day, Sking normally occurs in the 14 week period from December to April, during which the lift will operate seven days per week. The ferst lift will operate at 90 percent capacity if economic conditions are bad, the probability of which is beleved to be about a 0.3. During nomal times the frst lift will be utilized at 100 percent capacity, and the excess crowd will provide 50 percent utilization of the second lift. The probability of normal times is 05. Finally, if times are really good, the probability of which is 0.2, the utilization of the second lift will increase to 90 percent. The equivalent annual cost of installing a new lit, recognizing the time value of money and the lit's economic life, is $50.000. The annual cost of installing two lifts is only $90.000 both are purchased at the same time. If used at all, each lift costs $200.000 to operate, no matter how low or high its utilization rate. Lift tickets cost $20 per customer per day. Should the resort purchase one lift or two? Construct a decision tree.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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White Valley Ski Resort is planning the ski lift operation for its new ski
resort. Management is trying to determine whether one or two lifts will
be necessary: each lift can accommodate 250 people per day. Skiing
normally occurs in the 14-week period from December to April, during
which the lift will operate seven days per week. The first lift will operate
at 90 percent capacity if economic conditions are bad, the probability of
which is believed to be about a 0.3. During normal times the first lift will
be utilized at 100 percent capacity, and the excess crowd will provide 50
percent utilization of the second lift. The probability of normal times is
0. Finally, if times are really good, the probability of which is 0.2, the
utilization of the second lift will increase to 90 percent. The equivalent
annual cost of installing a new lift, recognizing the time value of money
and the lit's economic life, is $50.000. The annual cost of installing two
lifts is only $90.000 if both are purchased at the same time. If used at all,
each lift costs $200.000 to operate, no matter how low or high its
utilization rate. Lift tickets cost $20 per customer per day. Should the
resort purchase one lift or two? Construct a decision tree.
Transcribed Image Text:White Valley Ski Resort is planning the ski lift operation for its new ski resort. Management is trying to determine whether one or two lifts will be necessary: each lift can accommodate 250 people per day. Skiing normally occurs in the 14-week period from December to April, during which the lift will operate seven days per week. The first lift will operate at 90 percent capacity if economic conditions are bad, the probability of which is believed to be about a 0.3. During normal times the first lift will be utilized at 100 percent capacity, and the excess crowd will provide 50 percent utilization of the second lift. The probability of normal times is 0. Finally, if times are really good, the probability of which is 0.2, the utilization of the second lift will increase to 90 percent. The equivalent annual cost of installing a new lift, recognizing the time value of money and the lit's economic life, is $50.000. The annual cost of installing two lifts is only $90.000 if both are purchased at the same time. If used at all, each lift costs $200.000 to operate, no matter how low or high its utilization rate. Lift tickets cost $20 per customer per day. Should the resort purchase one lift or two? Construct a decision tree.
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