A manufacturer of industrial sales has production capacity of 1,000 units per day.Currently,the firm sells production capacity for $10 per unit.At this price,all production capacity gets booked about one week in advance.A group of customers have said that they would be willing to pay $15 per unit if capacity was available on the last day.About ten days in advance,demand for the high-price segment is normally distributed with a mean of 250 and a standard deviation of 100.How much production capacity should the manufacturer reserve for the last day?
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