Model the following situations by defining all variables and giving all inequalities, the objective function and the region of feasibility.
Farmer John gets $5000 for every truck of wheat sold and $6000 for every truck of corn sold. He has two fields: field A has 23 acres and field B has 17 acres. For every 2 acres of field A, Farmer John produces a truck of wheat, while 3 acres are required for field B for the same amount of wheat. Regarding the corn, 3 acres of field A are required for a truck, while only 1 acre of field B is needed. How many trucks of each commodity should be produced to maximize Farmer John's profit?
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