A farmer with 1200 acres is considering planting three different crops, corn, soybeans, and oats. The farmer wants to use all acres. Seed corn costs $ per acre, while soybean and oat seed cost $ and $ per acre respectively. The farmer has $ available to buy seed and intends to spend it all.
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Use the information above to formulate two linear equations with three unknowns and solve it.
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Solutions to the system are choices that the farmer can make. Write down two reasonable solutions.
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Suppose that in the fall when the crops mature, the farmer can bring in revenue of $ per acre for corn, $ per acre for soybeans and $ per acre for oats. Which of your two solutions in the prior part would have resulted in a larger revenue?
Hefferon, Linear Algebra, Linear Systems, Describing the Solution Set, Exercise 9