In modeling a shopping mall construction problem, there are four potential locations giving rise to four 0-1 decision variables, denoted as $\mathrm{X}_{1}, \mathrm{X}_{2}, \mathrm{X}_{3}, \mathrm{X}_{4}$, which take a value of 1 if a mall is constructed and 0 otherwise. Identify the correct set of constraint/s to satisfy the following condition/s: at least one mall may be constructed among locations 1 and 3
A) $\mathrm{X}_{1}+\mathrm{X}_{3} \leq$1
B) $\mathrm{X}_{1}+\mathrm{X}_{3} \geq$1
C) $X_{1}+X_{3}$1
D) $X_{1}+X_{3}=$

Question

In modeling a shopping mall construction problem, there are four potential locations giving rise to four 0-1 decision variables, denoted as $\mathrm{X}_{1}, \mathrm{X}_{2}, \mathrm{X}_{3}, \mathrm{X}_{4}$, which take a value of 1 if a mall is constructed and 0 otherwise. Identify the correct set of constraint/s to satisfy the following condition/s: at least one mall may be constructed among locations 1 and 3
A) $\mathrm{X}_{1}+\mathrm{X}_{3} \leq$1
B) $\mathrm{X}_{1}+\mathrm{X}_{3} \geq$1
C) $X_{1}+X_{3}>$1
D) $X_{1}+X_{3}=$

Quizplus · Accepted Answer

The constraint $\mathrm{X}_{1}+\mathrm{X}_{3} \geq 1$ ensures that at least one mall is constructed between locations 1 and 3, either one or both.

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In Modeling a Shopping Mall Construction Problem, There Are Four $\mathrm{X}_{1}, \mathrm{X}_{2}, \mathrm{X}_{3}, \mathrm{X}_{4}$