Question
The manager of a tourist attraction is considering whether to open on 1 January, a day when the attraction has, in previous years, been closed.
The manager of a tourist attraction is considering whether to open on 1 January, a day when the attraction has, in previous years, been closed. The attraction has a daily capacity of 1,000 visitors. If the attraction opens for business on that day it will incur additional specific fixed costs of $30,000. The contribution from the sale of tickets would be $25 per visitor. The number of visitors is uncertain but based on past experience it is expected to be as follows:
Number of Visitors | Probability |
800 visitors | 50% |
900 visitors | 30% |
1,000 visitors | 20% |
It is expected that visitors will also purchase souvenirs and refreshments. The contribution which would be made from these sales has been estimated as follows:
Spending per Visitors | probability |
$8 per visitor | 35% |
$10 per visitor | 40% |
$12 per visitor | 25 % |
Required: Calculate whether it is worthwhile opening the tourist attraction on 1 January. You should use expected value as the basis of your analysis.
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