Part CCSIR NET June 2024an-unbounded-variable-hidden-among-bounded-ones

An unbounded variable hidden among bounded ones

Consider the linear programming problem: max{ $x_{1} + x_{2} + x_{3}$ } subject to constraints $x_{1} + x_{2} - x_{3} \leq 1, x_{1} + x_{3} \leq 2, 0 \leq x_{1} \leq 1/2, x_{2} \geq 0$ , and $0 \leq x_{3} \leq 1$ . Which of the following statements are true?

A.The optimum value is 3✓
B.The optimum value is 3/2
C.(0, 2, 1) is an extreme point of the feasible region✓
D.(1/2, 0, 1) is the optimal solution

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

See pricing

50 are analysed free — try those first.

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