12th Class Mathematics Linear Programming Question Bank

done Assertion And Reason (MCQs) - Linear Programming Total Questions - 8

• question_answer1)

  Directions: (1 - 8)

  The following questions consist of two statements, one labelled as "Assertion [A] and the other labelled as Reason [R]" You are to examine these two statements carefully and decide if Assertion [A] and Reason [R] are individually true and if so, whether the Reason [R] is the correct explanation for the given Assertion [A]. Select your answer from following options.

  Consider the graph of constraints stated in linear equations \[5x+y\le 100\], \[y+x\le 60\], x, \[y\ge 0\].

  Assertion [A]: (25, 40) is in feasible solution of the problem.

  Reason [R]: Any point inside the feasible region is called an infeasible solution.

   
  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false done clear
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• question_answer2)

  Assertion [A]: Maximum value of \[z=11x+5y\] subject to the constraints

  \[3x+2y\le 25,\,x+y\,\le 10,\,x,\,y\ge 0\] occurs at corner point \[\left( \frac{25}{3},\,0 \right)\].

  Reason [R]: If the feasible region of the given LPP is bounded then the maximum & minimum value of the objective function occur at corner points.

   
  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false done clear
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• question_answer3)

  Assertion [A]: The maximum value of \[z=11x+7y\] subject to the constraints \[2x+y\le 6,\,x\le 2,\,y\ge 0,\,y\ge 0\] occurs at corner point (0, 6).

  Reason [R]: If the feasible region of the given LPP is bounded then the minimum & maximum values of the objective function occurs at corner points.

   
  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false done clear
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• question_answer4)

  Assertion [A]: The maximum value of \[z=4x+y\] subject to the constraints \[x+y\le 50,\,3x+y\le 90,\]\[\,x\ge 0,\,y\ge 0\] is 120.

  Reason [R]: If the feasible region of given LPP is bounded then the maximum & minimum values of the objective function occurs in infleasible region.

   
  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false done clear
  View Solution play_arrow

• question_answer5)

  Consider the graph of \[2x+3y\le 12\], \[3x+2y\le 12\], \[x\ge 0,\,y\,\ge 0\].

  Assertion [A]: (5, 1) is an infeasible solution of the problem.

  Reason [R]: Any point inside the feasible region is called an infeasible solution.

  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false done clear
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• question_answer6)

  Consider the graph of constraints

  \[x+y\le 24,\,2x+y\le 32,\,x>0,\,y>0\]

  Assertion [A]: The points (16, 0), (8, 16) and (0, 24) are feasible solutions.

  Reason [R]: Points within and on the boundary of the feasible region represents feasible solutions of the constraints.

  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false done clear
  View Solution play_arrow

• question_answer7)

  Consider the graph of linear equations \[x+y\le 4,\,x,\,y\,\ge 0\]

  Assertion [A]: (5, 1) is a feasible solution of the problem

  Reason [R]: Any point inside the feasible region is called feasible solution.

  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false done clear
  View Solution play_arrow

• question_answer8)

  Consider the graph of constraints

  \[5x+y\le 100,\,x+y\,\le 60,\,x,\,y\,\ge 0\]

  Assertion [A]: The points (10, 50), (0, 60) and (20, 0) are feasible solutions.

  Reason [R]: Points within and on the boundary of the feasible region represents infeasible solutions.

  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false done clear
  View Solution play_arrow