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Mathematics Test - 11
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  • Question 1/10
    5 / -1
    A linear programming model is an example of a
  • Question 2/10
    5 / -1

    The feasible region for an LPP is shown in the given figure. Let F = 3x - 4y be the objective function. The maximum value of F is?

  • Question 3/10
    5 / -1
    In an Linear programming problem, the restrictions or limitations under which the objective function is to be optimised are called
  • Question 4/10
    5 / -1
    Corner points of the feasible region determined by the system of linear constrains are (0, 3), (1, 1) and (3, 0). Let Z = px + qy, where p, q > 0. Condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1) is?
  • Question 5/10
    5 / -1

    The problem of maximizing z = x1 - x2 subject to constraints x1 + x2 ≤ 10, x1 ≥ 0, x2 ≥ 0 and x2 ≤ 5 has

  • Question 6/10
    5 / -1

    The following LPP problem has

    Zmin = 1.5x1 + 4.5x2

    Subject to

    x1 + 3x2 > 3

    x1 + x2 > 2

    x1, x2 > 0

  • Question 7/10
    5 / -1
    If m is the number of constraints in a linear programming with two variables x and y and non – negative constraints x ≥ 0, y ≥ 0. The feasible region in the graphical solution will be surrounded by how many lines?
  • Question 8/10
    5 / -1

    Consider the following linear programming problem:

    Maximize z = 6x + 10y

    Subject to x ≤ 4

    y ≤ 6

    3x + 2y ≤ 18

    x ≥ 0, y ≥ 0

    The maximum value of the objective function is
  • Question 9/10
    5 / -1

    For a company manufacturing products X and Y, details are given below: Then which of the following mathematical formulation is correct for this L.P.P. to maximize the profit?

    Machines

    Time (hr)

    Available capacity (hrs)

    X

    Y

    A

    1

    1

    4

    B

    3

    8

    24

    C

    10

    7

    35

    Profit unit (rs)

    5

    7

     

    Where the number of the products of X and Y types are x  and y.

  • Question 10/10
    5 / -1
    In case of solution of a two variable linear programming problem by graphical method one constraint line come parallel to the objective function line. Which one of the following is correct?
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