A small country can grow only two crops for export, coffee and lima beans. The country has at least 400,000 hectares of land available for crops. Long-term contracts require at least 120,000 hectares be devoted to coffee and at least 250,000 hectares to lima beans. Since lima beans must be processed locally and there are limits on local production, at most 300,000 hectares of land can be devoted to growing lima beans. Coffee requires 2 workers per hectare to harvest, with lima beans requiring 4 workers per hectare. No more than 1,500,000 workers are available to harvest these crops. The sale of coffee produces a profit of $225 per hectare, while lima beans produce a profit of $450 per hectare. Using the "method of corners", determine how many hectares of land the country should devote to each crop in order to maximize profit. What is the maximum profit?
