simplex method and tableau format
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Farmer Jones owns 64 acres of land. She is going to plant each with wheat or corn. Each acre planted with wheat yields $200 profit while each acre planted with corn yields $300 profit. The labour and fertilizer used for each acre are given in table below. One hundred days of labour and 120 tons of fertilizer are available. Use linear programming to determine how Jane can maximize profits from her land.
wheat corn
labour 3 days 2 days
fertilizer 2 tons 4 tons
How to do it using the simplex method and tableau format?
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Solution Summary
Incorporate the simplex method and tableau format.
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Please see the attached files.
Suppose Jones plants X acres wheat and Y acres corn.
Profit function Z = 200X + 300 Y
Constraints:
Land: X + Y ≤ 64
Labour 3X + 2 Y≤ 100
Fertilizer 2X +4Y ≤ 120
X≥0, Y≥ 0
Thus the problem is
Maximize Z = 200X + 300 Y
Subject to X + Y ≤ 64
3X + 2 ...
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