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Farmer Jim's Decision Problem: Growing Wheat or Barley

​
area for wheat (ha)
5
area for barley (ha)
10
Farmer Jim needs to decide how much wheat and barley to plant on his 100 ha (100 hectares, or
1
2
km
) 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.
The top slider explores how Jim's profits vary with the area of wheat planted, while the second slider explores how Jim's profits vary with the area of barley.
Why does the area of barley planted go down if the area for wheat is greater than 10 ha?
Why can he only grow a maximum of 40 ha of wheat?
How much wheat and barley will he plant?
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