In a Binary Integer Programming (BIP) problem with 3 mutually exclusive alternatives, $x_1$, $x_2$, and $x_3$, the following constraint needs to be added to the formulation:**Multiple Choice:**1. $x_1 + x_2 + x_3 \leq 1$2. **$x_1 + x_2 + x_3 = 1$** (Selected)3. $x_1 - x_2 - x_3 \leq 1$4. $x_1 - x_2 - x_3 = 1$5. None of the choices is correct.**Explanation:**The constraint forces one and only one of the alternatives $x_1$, $x_2$, or $x_3$ to be chosen, while the other variables must be zero. The highlighted choice ($x_1 + x_2 + x_3 = 1$) ensures this requirement is met.

Linear programming is a mathematical technique that is also used in operations management…

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In a BIP problem with 3 mutually exclusive alternatives, x₁, x2, and x3, the following constraint needs to be added to the formulation: