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The university has given Vecino’s Bakery the concession to sell glazed donuts in the Graduate School of Business Administration during evening classes. It costs the bakery $.15 to produce each donut, and Vecino’s sells the donuts to students for $0.35 each. Any donuts that are unsold at the end of the evening are donated to a local charity, and the bakery obtains a tax credit equal to $.05 per donut. If Vecino’s produces too few donuts and does not have enough to satisfy all its customers, it incurs a customer goodwill cost of $.25 per donut demanded. The bakery hires a student to operate the concession and pays the student $15 per evening. After several months of operations, the bakery has determined that demand for glazed donuts on weekday evenings approximately follows a normal distribution with a mean of 120 and a standard deviation of 20. Vecino’s wishes to determine the optimal number of donuts to prepare for weekday evenings.
Bill’s Bird Feed sees weekly, average demand of 18 units for its special bird feeder that is normally distributed with a standard deviation of weekly demand of 5 units. Orders
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