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← Logic & PuzzlesAn agricultural cooperative wants to maximize profit by allocating land for corn and soy. If they employ the simplex method, which outcome demonstrates the objective function's linearity?
A)Integer solutions are automatically obtained
B)Profit increases proportionally with acreage✓
C)Non-negativity constraints become unnecessary
D)Dual problem is always infeasible
💡 Explanation
The objective function's linearity means the profit generated increases proportionally with each additional acre allocated to corn or soy, because the contribution of each acre is constant. Therefore, profit increases linearly, rather than exhibiting diminishing returns or other non-linear effects.
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