Michal has a 100-acre farm and plans to plant at most three crops. The seed for crops A, B and C costs $40, $20, and $30 per acre, respectively. A maximum of $3,200 can be spent on seed. Crops A, B, and C require 1, 2, and 1 work days per acre, respectively, and there are a maximum of 160 work days available. If the farmer can make a profit of $100 per acre on crop A, $300 per acre on crop B, and $200 per acre on crop C, how many acres of each crop should be planted to maximize profit? Using simplex method.
Michal has a 100-acre farm and plans to plant at most three crops. The seed for crops A, B and C costs $40, $20, and $30 per acre, respectively. A maximum of $3,200 can be spent on seed. Crops A, B, and C require 1, 2, and 1 work days per acre, respectively, and there are a maximum of 160 work days available. If the farmer can make a profit of $100 per acre on crop A, $300 per acre on crop B, and $200 per acre on crop C, how many acres of each crop should be planted to maximize profit? Using simplex method.
College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Transcribed Image Text:Michal has a 100-acre farm and plans to plant at most three crops. The seed
for crops A, B and C costs $40, $20, and $30 per acre, respectively. A maximum of
$3,200 can be spent on seed. Crops A, B, and C require 1, 2, and 1 work days per
acre, respectively, and there are a maximum of 160 work days available. If the
farmer can make a profit of $100 per acre on crop A, $300 per acre on crop B, and
$200 per acre on crop C, how many acres of each crop should be planted to
maximize profit? Using simplex method.
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