Farmer Jim's Decision Problem: Growing Wheat or Barley
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Farmer Jim needs to decide how much wheat and barley to plant on his 100 ha (100 hectares, or 
) of land. Wheat yields $2/ha and takes 3 days of work/ha. Barley yields $1/ha and takes 1 day of work/ha. He is a profit-maximizing farmer who has a maximum of 120 working days available.
Contributed by: Marit Kragt and Zhengqiang Jiang (September 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The linear programming (LP) formulation of this problem was discussed in the tutorial class, where 
is the area for wheat and 
is the area for barley. The problem setup is:
Maximize 
subject to:
,
,
.
This model demonstrates the LP problem from Management Decision Tools (UWA unit SCIE3367/8367) tutorial 2_2011.
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