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Questions and Answers
What is the objective function in this linear programming problem?
What is the objective function in this linear programming problem?
- $z = 6x_1 + 12x_2$
- $z = 15x_1 + 21x_2$
- $z = 12x_1 + 4x_2$
- $z = 21x_1 + 15x_2$ (correct)
Which constraint indicates a greater-than-or-equal relationship?
Which constraint indicates a greater-than-or-equal relationship?
- $x_1 - 2x_2 ext{ } ext{ is less than } -6$
- $x_1 - 2x_2 ightarrow -6$ (correct)
- $4x_1 + 3x_2 = 12$
- $4x_1 + 3x_2 ightarrow 12$
What is the feasible region for the constraint $4x_1 + 3x_2 ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } riangle ext{ } 12$?
What is the feasible region for the constraint $4x_1 + 3x_2 ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } riangle ext{ } 12$?
- All values of $x_1$ and $x_2$ equal to the line $4x_1 + 3x_2 = 12$
- All values of $x_1$ and $x_2$ above the line $4x_1 + 3x_2 = 12$
- Any negative values of $x_1$ and $x_2$
- All values of $x_1$ and $x_2$ below the line $4x_1 + 3x_2 = 12$ (correct)
Which of the following constraints is active at the optimal solution?
Which of the following constraints is active at the optimal solution?
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Which variable is likely to contribute more to the maximization of $z$ based on their coefficients?
Which variable is likely to contribute more to the maximization of $z$ based on their coefficients?
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