A farmer has 15 acres to plant in corn and soy beans. The farmer has to plant at least 9 acres. However, the farmer has only $1200 to spend. Each acre of corn costs $200 to plant and each acre of soy beans 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 corn and 2 hours to plant an acre of soy beans. The profit is $300 per acre of corn and $700 per acre of soy beans. If corn is variable X and soy beans is variable Y, what is the objective function if the farmer wants to maximize profits?

	1.	9 < X + Y < 15
	2.	1X + 2 Y < 12
	3.	300X + 700Y = Z
	4.	200X + 100Y = Z