A florist offers two types of Thank You bouquets. The Thanks a Bunch bouquet consists of 3 roses, 4 carnations, and 2 stems of baby's breath and sells for $12. The Merci Beaucoup bouquet consists of 6 roses, 3 carnations, and 2 stems of baby's breath and sells for $16. The florist has 48 roses, 34 carnations, and 18 stems of baby's breath available each day for these bouquets. How many of each type of bouquet should be prepared in order to maximize the income from these bouquets?