A farmer is trying to maximize his profit. He owns a 100 acre farm and plans to plant at most three crops. The seed for crops A, B and C cost $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 & 1 workdays per acre, respectively. There are a maximum of 160 workdays available. 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?
A farmer is trying to maximize his profit. He owns a 100 acre farm and plans to plant at most three crops. The seed for crops A, B and C cost $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 & 1 workdays per acre, respectively. There are a maximum of 160 workdays available. 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?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 63E
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A farmer is trying to maximize his profit. He owns a 100 acre farm and plans to plant at most three
crops. The seed for crops A, B and C cost $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 & 1 workdays per acre, respectively.
There are a maximum of 160 workdays available. 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?
Find using a simplex tableau.
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