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Linear Programming Test - 7

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Linear Programming Test - 7
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  • Question 1
    1 / -0.25

    Problems which seek to maximise or, minimise profit or, cost form a general class of problems called ………​

    Solution

    In any problem in which we maximise or minimise profit or cost i.e. we find the    optimal value.Hence, they are called Optimisation Problems

  • Question 2
    1 / -0.25

    A ………of a feasible region is a point in the region, which is the intersection of two boundary lines.​

    Solution

    A vertex of the feasible region. Not every intersection of lines is a corner point. The corner points only occur at a vertex of the feasible region. If there is going to be an optimal solution to a linear programming problem, it will occur at one or more corner points, or on a line segment between two corner points.

  • Question 3
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    The linear inequalities or equations or restrictions on the variables of a linear programming problem are called ……The conditions x ≥0 , y ≥0 are called …….​

  • Question 4
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    The common region determined by all the constraints including non-negative constraints x, y ≥0 of a linear programming problem is called the ………​

  • Question 5
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    Let Z = ax + by is a linear objective function. Variables x and y are called ………variables.​

  • Question 6
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    A linear function of several variables x and y is called ………​

  • Question 7
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    Every point of feasible region is called a ………to the problem.​

  • Question 8
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    How many of the following points satisfy the inequality 2x –3y >-5?
    (1, 1), (-1, 1), (1, -1), (-1, -1), (-2, 1), (2, -1), (-1, 2) and (-2, -1)​

    Solution

    2x –3y >-5
    Only these 5 (x, y) pairs satisfy the inequality  
    (1, 1), (1, -1), (-1, -1), (2, -1), (-2, -1)

  • Question 9
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    The linear inequalities on the variables of a linear programming problem are called ………​

  • Question 10
    1 / -0.25

    The feasible solution of a L.P.P. belongs to ​

    Solution

    As per the definition of LPP:
    Linear Programming Problem is one that is concerned with finding the optimal value of a linear function of several variables, subject to the conditions that the variables are non-negative and satisfy a set of linear inequalities.
    Since the variables (x &y) are non-negative, the feasible solution of a LPP belongs to the 1st quadrant only.

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