Wheat, corn and rice are to be planted on 12000 acres of farmland. Each acre can produce 35 bushels of wheat, 100 bushels of corn, or 80 bushels of rice. Acreage planted in corn must be at least half the acreage planted in wheat, and at most 22% of the total acreage planted. At most 3400 acres can be planted in rice. If you wish to maximize the total amount of grain produced, how should the land be planted?