A grower has 50 acres of land for which she plans to raise three crops. It costs P200 to produce an acre of carrots and the profit is P60 per acre. It costs P80 to produce an acre of celery and the profit is P20 per acre. Finally, it costs P140 to produce an acre of lettuce and the profit is P30 per acre. Use the simplex method to find the number of acres of each crop she should plant in order to maximize her profit. Assume that her cost cannot exceed P10,000.

Elementary Algebra
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Chapter5: Systems Of Linear Equations
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Linear programming solve using only simplex method. Please show your solution readable. Thank you.
A grower has 50 acres of land for which she plans to raise three crops. It costs P200 to
produce an acre of carrots and the profit is P60 per acre. It costs P80 to produce an acre
of celery and the profit is P20 per acre. Finally, it costs P140 to produce an acre of lettuce
and the profit is P30 per acre. Use the simplex method to find the number of acres of
each crop she should plant in order to maximize her profit. Assume that her cost cannot
exceed P10,000.
Transcribed Image Text:A grower has 50 acres of land for which she plans to raise three crops. It costs P200 to produce an acre of carrots and the profit is P60 per acre. It costs P80 to produce an acre of celery and the profit is P20 per acre. Finally, it costs P140 to produce an acre of lettuce and the profit is P30 per acre. Use the simplex method to find the number of acres of each crop she should plant in order to maximize her profit. Assume that her cost cannot exceed P10,000.
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