Ajewelry firm buys semiprecious stones to make bracelets and rings. the supplier charges $66 per stone, annual carrying costs are 21%, and the cost of processing orders is $26. the jewelry firm operates 250 days per year and their usage rate is 82 stones per day. how many orders per year will be placed for semi-precious stones?

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends > a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?