(Solved): Consider a linear programming problem in which the decision variables must satisfy the following c ...

Consider a linear programming problem in which the decision variables must satisfy the following constraints: \( x_{1}+x_{2} \leq 6,2 x_{1}+x_{2} \geq 6, x_{1} \leq 2, x_{1} \geq 0 \) and \( x_{2} \geq 0 \). An analyst has represented these constraints using Figure 40 . The value of \( x_{1} \) that minimises \( Z=3 x_{1}+x_{2} \) is: 2. 3. 4. 6. None of the above.