SOLUTION: The Willey Farm Collective, farmed by several branches of the Willeys, has 4500 acres of land available for raising corn and soybeans. The cost of raising corn is $42 an acre, whil

Question 577875: The Willey Farm Collective, farmed by several branches of the Willeys, has 4500 acres of land available for raising corn and soybeans. The cost of raising corn is $42 an acre, while the cost of wheat is $35 an acre. The Collective's available capital is $165,200. How many acres of each species should the Collective plant?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = acres planted in corn
Let = acres planted in wheat
given:
(1)
(2)
----------------------
The solution has to be on the line
(1) in an area where (2) is true
------------------------
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
And, from (1)
(2)
(2)
(2)
1100 acres should be planted in corn
3400 acres should be planted in wheat
here's the plots:

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