SOLUTION: A farmer has 1200 acres of land on which he grows corn, wheat and soybeans. It costs $45 per acre to grow corn, $60 for wheat, and $50 for soybeans. Because of market demand he w

Question 323383: A farmer has 1200 acres of land on which he grows corn, wheat and soybeans. It costs $45 per acre to grow corn, $60 for wheat, and $50 for soybeans. Because of market demand he will grow twice as many acres of wheat as of corn. He has allocated $63,750 for the cost of growing his crops. How many acres of each crop should he plant?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
3.
.
.
.
Substitute eq. 3 into eq. 1 and eq. 2,

4.
.
.
.

5.
Multiply eq. 4 by (-50) and add to eq. 5 to eliminate S,

Then use eq. 4 to solve for S,

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