Atheater is presenting a program on drinking and driving for students and their parents or other responsible adults. the proceeds will be donated to a local alcohol information center. admission is $ 10.00 for adults and $ 5.00 for students. however, this situation has two constraints: the theater can hold no more than 210 people and for every two adults, there must be at least one student. how many adults and students should attend to raise the maximum amount of money?

James river jewelry is a small jewelry shop. while james river jewelry does sell typical jewelry purchased from jewelry vendors, including such items as rings, necklaces, earrings, and watches, it specializes in hard-to-find asian jewelry. although some asian jewelry is manufactured jewelry purchased from vendors in the same manner as the standard jewelry is obtained, many of the asian jewelry pieces are often unique single items purchased directly from the artisan who created the piece (the term manufactured would be an inappropriate description of these pieces). james river jewelry has a small but loyal clientele, and it wants to further increase customer loyalty by creating a frequent buyer program. in this program, after every 10 purchases, a customer will receive a credit equal to 50 percent of the average of his or her 10 most recent purchases. this credit must be applied to the next (or 11th) purchase.