1) Jane wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. Jane wants to buy enough boxes to have at least 600 units of vitamins, 500 units of minerals, and 900 calories. How many boxes of each food should he buy to minimize his cost, and what is the minimum cost?
2) You invested $10,000 into two accounts: one that has simple 3% interest, the other with 2.5%interest. If your total interest payment after one year was $283.50, how much was in each account after the year passed?