1. María Victoria runs a bakery that sells two kinds of desserts. María Victoria knows the bakery must make at least 14 and at most 84 batches of the Nutty Squirrels. The bakery must also make between 6 and 50 batches of the White Chocolate Blizzards. The batches of Nutty Squirrels take 5 minutes in the oven, while batches of White Chocolate Blizzards require 7 minutes in the oven. The bakery only has 560 minutes in the oven available. If batches of Nutty Squirrels generate $2.94 in income, and batches of White Chocolate Blizzards generate $2.16, how many batches of the desserts should María Victoria have the bakery make to get the most income?
2. Canon runs a factory that makes DVD players. Each R80 takes 6 ounces of plastic and 2 ounces of metal. Each G150 requires 3 ounces of plastic and 4 ounces of metal. The factory has 258 ounces of plastic, and 296 ounces of metal available, with a maximum of 14 R80 that can be built each week. If each R80 generates $7 in profit, and each G150 generates $16, how many of each of the DVD players should Canon have the factory make each week to make the most profit?