You manage a steakhouse, and you are buying two different, yet similar, cuts of meat. Cut A costs $30/cut and cut B costs $29/cut. You cannot spend more than $870 on meat for the weekend. You know that you'll sell fewer of cut B, but your supplier insists that you buy more than thirteen of cut A. What is a possible solution to the system, assuming that you must buy whole cuts of meat, not fractions?

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?