A grower has 50 acres of land of which she plans to raise three crops. It costs $200 to produce an acre of carrots and the profit is $60 per acre. It costs $80 to produce an acre of celery and the profit is $20 per acre. Finally, it costs $140 to produce an acre of lettuce and the profit is $30 per acre. Use the simplex method to find the number of acres of each crop she should plant in order to maximise her profit. Assume that her cost cannot exceed $10,000

Elementary Algebra
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Chapter5: Systems Of Linear Equations
Section5.3: Solve Systems Of Equations By Elimination
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A grower has 50 acres of land of which she plans to raise three crops. It costs $200 to produce an acre of carrots and the profit is $60 per acre. It costs $80 to produce an acre of celery and the profit is $20 per acre. Finally, it costs $140 to produce an acre of lettuce and the profit is $30 per acre. Use the simplex method to find the number of acres of each crop she should plant in order to maximise her profit. Assume that her cost cannot exceed $10,000

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