12.1 Warming-up Exercise
Problem
A farmer has 10 acres to plant in wheat and rye. He has to plant at least 7 acres. However, he has only $1,200 to spend and each acre of wheat costs $200 to plant and each acre of rye costs $100 to plant. Moreover, the farmer has to get the planting done in 12 hours and it takes an hour to plant an acre of wheat and 2 hours to plant an acre of rye. If the profit is $500 per acre of wheat and $300 per acre of rye.
- How many acres of each should be planted to maximize profits?
Attribution
By Luis F. Luna-Reyes, Erika Martin and Mikhail Ivonchyk, and licensed under CC BY-NC-SA 4.0.