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The Blue Roof Inn overbooks two rooms a night. Room rates run $100 a night but cost only $30 to maintain. Bumped customers are sent

The Blue Roof Inn overbooks two rooms a night. Room rates run $100 a night but cost only $30 to maintain. Bumped customers are sent to a nearby hotel for $80 a night. What is the cost of overbooking? What is the cost of underbooking? Given the following distribution of no-shows, should Blue Roof continue its current policy?

No-Shows Probability
0 0.30
1 0.20
2 0.10
3 0.30
4

0.10

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