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Model the following situations by defining all variables and giving all inequalities, the objective function and...

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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