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Linear Programming · Question 10 of 59

Question 10

MediumOriginal question

Which of the following statements are true?

I. The objective function of a linear programming problem is linear in the decision variables.

II. x≥0x \ge 0, y≥0y \ge 0 are called the non-negative constraints.

III. The feasible region is the common region of all the constraints, the non-negative ones included.

IV. Every point of the feasible region is an optimal solution.

Options for question 10

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. I, II and III are the definitions: a linear objective, non-negative variables, and a feasible region where every constraint holds.

  2. IV is false: a point of the feasible region is a feasible solution; an optimal solution is one that gives the best value of ZZ.

Concept
The terms of linear programming
Typical time
120 s
Your time
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The rule this testsFormulating a problem
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Ten questions from Linear Programming, at your own pace.

Practise this chapter →

Ten questions from Linear Programming, at your own pace.