William and debra pierce are celebrating their 20 th anniversary by having a reception at a local reception hall. they have budgeted $ 2 comma 500 for their reception. if the reception hall charges a $ 50 cleanup fee plus $ 37 per person, find the greatest number of people that they may invite and still stay within their budget.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than 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?