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Michael Abrams runs a specialty clothing store that sells collegiate sports apparel. One of his primary business opportunities involves selling custom screen printed sweatshirts for

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Michael Abrams runs a specialty clothing store that sells collegiate sports apparel. One of his primary business opportunities involves selling custom screen printed sweatshirts for college football bowl games. He is trying to determine how many sweatshirts to produce for the upcoming Tangerine Bowl game. During the month before the game, Michael plans to sell his sweatshirts for $30 each. At this price, he believes the demand for sweatshirts will be normally distributed with mean 7,000 and standard deviation 1,500 (keeping of course in mind that the number of sweaters must be a whole number). During the month after the game, Michael plans to sell any remaining sweatshirts for $12 each. At this pn'ce, he believes the demand for sweatshirts will be triangularly distributed with a minimum demand of 300, maximum demand of 1,000, anda most likely demand of 500. Two months after the game, Michael plans to sell any remaining sweatshirts to a surplus store that has agreed to buy up to 1,500 sweatshirts for a price of $3 per shirt. Michael can order custom screen printed sweatshirts for $10 per sweatshirt in lot sizes of 200

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