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The Texas Consolidated Electronics Company is considering an R&D program encompassing eight research projects. In the model for this problem Xi is a 0-1 variable for the selection of project i, where i = 1 to 8. One of the conditions in the model for this problem is that either project 2 or project 5 must be selected but not both of them. This condition is represented by the following constraint:Group of answer choices𝑥2≤𝑥5𝑥2+𝑥5=1𝑥2+𝑥5≤1𝑥2≥𝑥5

Question

The Texas Consolidated Electronics Company is considering an R&D program encompassing eight research projects. In the model for this problem Xi is a 0-1 variable for the selection of project i, where i = 1 to 8. One of the conditions in the model for this problem is that either project 2 or project 5 must be selected but not both of them. This condition is represented by the following constraint:Group of answer choices𝑥2≤𝑥5𝑥2+𝑥5=1𝑥2+𝑥5≤1𝑥2≥𝑥5

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Solution

The condition that either project 2 or project 5 must be selected but not both of them can be represented by the following constraint: 𝑥2 + 𝑥5 = 1. This means that either 𝑥2 or 𝑥5 must be 1 (selected) and the other must be 0 (not selected).

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