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A fan of classical music would like to attend the symphony multiple times in a given month, but her willingness to pay for each subsequent performance decreases with the number of performances she has already attended. In particular, she is willing to pay $150 for the first performance, $100 for the second, and $60 for the third. The cost of each ticket to the symphony amounts to roughly $40. Which of the two-part tariff schemes listed below yields the highest profit to the symphony from the given fan?

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1. A fan of classical music would like to attend the symphony multiple times in a given month, but her willingness to pay for each subsequent performance decreases with the number of performances she has already attended. In particular, she is willing to pay $150 for the first performance, $100 for the second, and $60 for the third. The cost of each ticket to the symphony amounts to roughly $40. Which of the two-part tariff schemes listed below yields the highest profit to the symphony from the given fan?





 
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