Tickets for the gala Opening Night festivities in Oklahoma City are available for $80 in advance at a couple of area businesses. If you wait until you arrive at the venue, you will pay full face value of $100 per ticket to enjoy the same festivities. If you buy a ticket and don't use it, you can buy $25 worth of chemicals and treat the ticket so that it can be used the following year. You have been taking orders from your friends for a few years and historically demand has been normally distributed with a mean of 50 tickets and a standard deviation of 10. What's the best quantity of tickets to purchase for this year's event?
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