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Busıness Decısıon Models (ENG)

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  1. 1

    "A feasible solution of the primal solution (x) is not optimal if the dual solution (y) violates a constraint of the dual model. The simplex method concurrently identifies basic feasible solutions for a primal model and its dual."

    Which property is defined above?

  2. 2

    According to the above transition diagram, which of the following shows the communication classes of the diagram?

  3. 3

    When does a degenerate basic variable act as a non-basic variable?

  4. 4

    Which of the followings interchanges costs and constraints of the primal model, and converts the objective from maximization to minimization?

  5. 5

    Which of the followings is the probability of going from one state to another?

  6. 6

    Which of the following option is the description of the "weak duality property"?

  7. 7

    Who developed the game theory extensively in the 1950s?

  8. 8

    Max Z = 16 x1 + 4 x2 is the objective function of the linear program, which has only one constraint other than the non-negativity constraints. Which of the constraints below ensures that the program has an optimal solution ?

  9. 9

    I. ⌈1 0 0⌉  II. ⌈0 0 1⌉  III. ⌈1 0 1⌉

        |0 1 0|        |0 1 0|          |0 1 0|

       ⌊0 0 1⌋      ⌊1 0 0⌋         ⌊1 0 1⌋

    Which one of the matrices above is the identity matrix ?

  10. 10

    What are the probabilities of going from ones state to another called?

  11. 11

    If two corner-point feasible solutions are connected by a line segment, these corner-point feasible solutions are ______.

    Which of the following completes the statement above? 

  12. 12

    Which of the following cannot be said about the Least-cost Method?

  13. 13

    The dual of a balanced transportation problem is interpreted as a problem of  ____________.

    Which of the following completes the defintion given above?

  14. 14
    When the objective function is minimization, which one would be true?
  15. 15

    A decision tree is a graphical approach that helps decision-makers see _________ they may encounter. 

    Which option below completes the sentence above best?

  16. 16
    1. In the maximization models, the objective function is alternatively named profit function.
    2. In the maximization models the value of Z needs to be increased as much as possible.
    3. A finite number of iso-profit lines can be drawn for increasing values of Z.
    4. Under the constraints of the model, the highest possible value of Z must reside in the feasible region.

    Which of the statements above about the maximization models are correct?

  17. 17

    What is the starting point in a decision tree?

  18. 18
    1. The foundation of operations research is mostly cited to studies and applications in the U.S. Army right before The World War II.
    2. Leonid V. Kantorovich is recognized as the first to explore operations research area.
    3. In 1939, Kantorovich published a paper on a method for a production plan which he claimed to be the optimal way.
    4. The systematic solution which is called “simplex algorithm” was introduced by George B. Dantzig, who had planning experience in the U.S. Army Air Force.
    5. Tjalling C. Koopmans, who built a model for ship routes, was another contributor to the field.
    6. Tjalling C. Koopmans and Kantorovich shared 1975 Nobel Prize in economics for their studies on the optimal allocation of resources.

    Which of the statements above about the historical development of operations research are correct?

  19. 19
    1. List all possible decision alternatives
    2. Define decision problem
    3. Establish objectives
    4. Select the most appropriate decision making method and apply this method
    5. Identify the possible outcomes for each decision alternative
    6. Determine the best alternative and make your decision
    7. Identify the pay-off matrix for each combination of alternatives and events

    What is the correct order of the steps of decision making process above?

  20. 20

    Which of the following is not one of the issues that complicate the decision-making process?

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