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Can a linear programming problem have more than three constraints?

Yes

A linear programming problem can indeed have more than three constraints. In fact, there is no theoretical limit to the number of constraints that can be included in a linear programming model. The key aspect of linear programming is that it involves optimizing an objective function while satisfying a set of linear inequalities (the constraints).

With advancements in computational methods and algorithmic techniques, such as the Simplex method, large-scale linear programming problems can be effectively solved, even when they include many constraints spanning several dimensions. The complexity of the problem may increase with additional constraints, but this does not restrict the feasibility of having numerous constraints in a linear programming model. Therefore, having more than three constraints is entirely permissible and common in practice.

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No

Only under specific conditions

It depends on the problem type

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