The linear programming problem illustrated thus far is simple by design. It can be solved graphically and algebraically to illustrate the linear programming technique using both methods. However, linear programming problems encountered in the real world are often quite complex and frequently involve a large number of constraints and output variables. Such problems are too complicated to solve graphically. The geometry is messy for three outputs and impossible for four or more. In real-world applications, computer software programs use algebraic techniques to handle large numbers of variables and constraints.
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