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The chain of department stores plans to invest up to 24,000 euros in television advertising. Ads will place all commercials on a television station where the broadcast of a 30-second spot costs EUR 1,000 and is watched by 14,000 potential customers. During prime time, it costs EUR 2,000. Twenty-four thousand potential customers watch it, and it costs EUR 1,500 late at night and is watched by 18,000 potential customers. The TV station will not accept an order to broadcast more than 15 spots in total three times. How many spots should the chain order each time to maximize the total number of viewers watching them? How many potential customers will watch the spots?
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