A farmer owns a 100-acre farm and plans to grow at most 3 crops. The seeds for crop A, B, and C cost $40, $20, and $30 per acre respectively. A maximum of $3200 can be spent on seed. Crops A, B, and C require one, two, and one 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? (solve by the simplex method of linear progression and write out step by step.)
A farmer owns a 100-acre farm and plans to grow at most 3 crops. The seeds for crop A, B, and C cost $40, $20, and $30 per acre respectively. A maximum of $3200 can be spent on seed. Crops A, B, and C require one, two, and one 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? (solve by the simplex method of linear progression and write out step by step.)
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