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MAT110U

Mathematıcs II (ENG)

Ünite Sınavı Soruları

  • 20 soru
  • Soru metinleri açık; şıklar ve cevap anahtarı uygulamada
  1. 1

    Which of the following is the point of intersection of the lines given by 2x - y = 1 and 4x - y = 5?

  2. 2

    Which of the following goal functions yields the value 100 at (15, 5)?

  3. 3

    Which of the following is the point of intersection of the lines given by

  4. 4
    Where will the maximum or minimum of a linear function over the constrained set if it exists will necessarily occur,  according to the corner point theorem ?
  6. 5

    What is the solution of the system of equations 

  7. 6

    I. A linear programming problem includes a linear function in two variables that we want to maximize or minimize. 

    II. a linear function in two variables that we want to maximize or minimize is called the goal function.

    III. The system of linear inequalities in a linear programming problem is also called the Corner Point.

    What can be said to be true about linear programming problems?

  8. 7

    The corner points of the constraint set are (0,0), (0,-1), (1,-2), (3,-3), (4,1). What is the minimum value of the goal function f=-2x+3y?

  9. 8

    Which of the following inequality describes the given graph?

  11. 9

    For a system of linear inequalities, what is the definition of the solution set of this system?

  12. 10

    Which of the following goal functions yield the value 81 at (6, 3)?

  13. 11

    If the corner points of the constraint set are (0,0), (0,5), (5,0), (6,10), (2,7) then what is the maximum value of the function 

  14. 12

    Given the system of linear inequalities

    Which of the following points is corner points is point of the constraint set?

  16. 13

    I. The subject of linear programming was developed in the 1940s in response to the war effort. Since that time, the subject has grown enormously and has found many commercial as well as non-commercial applications.

    II.  The source of linear programming is practical problems, where we are looking for the best way to allocate limited resources. 

    III. Linear programming is one of the branches of optimization and studies the minimization or maximization of a linear function without linear constraints.

    What can be said to be true about Linear programming?

  17. 14

    The corner points of a constraint set are (0,0), (0,5), (3,8), (12,0). Which of the following is the maximum value of the goal function

  18. 15

    Which of the following is the point of intersection of the lines given by 

  19. 16

    The corner points of the constraint set of the goal function f are (1, 1), (1, 4), (2, 6), (4, 9). Which of the following is the maximum value of the function f = 4x - y?

  21. 17

    Which of the following is the point of intersection of the lines given by 5x - 2y = 2 and 2x + y = 8?

  22. 18

    What is the maximum value of 

    subject to the constraints x+4y≤1, x-y≤-4, x≤0, y≥0?

  23. 19

    Which of the following is the point of intersection of the lines given by 16x-2y=11 and 17x-4y=15?

  24. 20

    The corner points of the constraint set of the goal function f are (0, 0), (-7, 0), (0, 4) and  (-3, -1). Which of the following is the maximum value of the function

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