Question: Consider the linear programming formulation below, where X and Y represent units of production of two different products. As currently written, the formulation is infeasible.

Consider the linear programming formulation below, where X and Y represent units of production of two different products. As currently written, the formulation is infeasible. The formulation can become feasible if one of the constraints (other than nonnegativity) is removed. Which single constraint must be removed?

Maximize profit = 2X + Y
subject to the constraints

5X + 4Y ≥ 200
4X + 6Y ≤ 120
16X + 8Y ≤ 320
20X – 10Y ≥ 200
X, Y ≥ 0

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