Linear Programming Quiz | Linear Programming Multiple Choice Questions and Answers

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Questions
1 The best use of linear programming is to find optimal use of
A money
B Manpower
C Machine
D All the above

Answer: All the above
2 Which of the following is assumption of an LP model
A divisibility
B proportionality
C additivity
D all of the above

Answer: all of the above
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3 Before formulating a formal LP model, it is better to
A Express each constraints in words
B Express the objective function in words
C verbally identify decision variables
D all of the above

Answer: all of the above
4 Non-negative condition in an LP model implies
A a positive coefficient of variables in objective function
B a positive coefficient of variables in any constraint
C non-negative value of resourse
D none of the above

Answer: non-negative value of resourse
5 For the constraint of a linear optimizing function z=x1+x2 given by x1+x2≤1, 3x1+x2≥3 and x1, x2≥0
A There are two feasible regions
B There are infinite feasible regions
C There is no feasible region
D None of these

Answer: There is no feasible region
6 The intermediate solutions of constraints must be checked by substituting them back into
A Objective function
B Constraint equations
C Not required
D None of the above

Answer: Constraint equations
7 A basic solution is called non-degenerate, if
A All the basic variables are zero
B None of the basic variables is zero
C At least one of the basic variables is zero
D None of these

Answer: None of the basic variables is zero
8 If the number of available constraints is 3 and the number of parameters to be optimized is 4, then
A The objective function can be optimized
B The constraints are short in number
C The solution is problem oriented
D None of these

Answer: The constraints are short in number
9 The graph of x≤2 and y≥2 will be situated in the
A First and second quadrant
B Second and third quadrant
C First and third quadrant
D Third and fourth quadrant

Answer: Second and third quadrant
10 The feasible solution of a L.P.P. belongs to
A First and second quadrant
B First and third quadrant
C Second quadrant
D Only in the first quadrant

Answer: Only in the first quadrant
11 The true statement for the graph of inequations 3x+2y≤6 and 6x+4y≥20 , is
A Both graphs are disjoint
B Both do not contain origin
C Both contain point (1, 1)
D None of these

Answer: Both graphs are disjoint
12 A vertex of bounded region of inequalities 𝑥 ≥ 0 ,𝑥 + 2𝑦 ≥ 0 and 2𝑥 + 𝑦 ≤ 4, is
A (1,1)
B (0,1)
C (3, 0)
D (0,0)

Answer: (0,0)
13 In which quadrant, the bounded region for the inequations 𝑥 + 𝑦 ≤ 1 and 𝑥 − 𝑦 ≤ 1 is situated
A I, II
B I, III,
C II,III
D All the four quadrant

Answer: I, II
14 The necessary condition for third quadrant region in xy-plane, is
A x>0, y<0
B x<0, y<0
C x<0, y>0
D x<0, y=0

Answer: x<0, y<0
15 The value of objective function is maximum under linear constraints
A At the center of feasible region
B At (0,0)
C At any vertex of feasible region
D The vertex which is at maximum distance from (0, 0)

Answer: At any vertex of feasible region

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