Linear Programming Quiz | Linear Programming Multiple Choice Questions and Answers

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Questions
1 The region represented by 2x+3y−5≤0 and 4x−3y+2≤0 , is A
A Not in first quadrant
B Unbounded in first quadrant
C Bounded in first quadrant
D None of these

Answer: Unbounded in first quadrant
2 Objective function of a L.P.P. is
A A constraint
B A function to be optimized
C A relation between the variables
D None of these

Answer: A function to be optimized
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3 The optimal value of the objective function is attained at the points
A Given by intersection of inequations with axes only
B Given by intersection of inequations with x-axis only
C Given by corner points of the feasible region
D None of these

Answer: Given by corner points of the feasible region
4 If the constraints in a linear programming problem are changed
A The problem is to be re-evaluated
B Solution is not defined
C The objective function has to be modified
D The change in constraints is ignored.

Answer: The problem is to be re-evaluated
5 The constraints −𝑥1 + 𝑥2 ≤ 1, − 𝑥1 + 3𝑥2 ≤ 9 and 𝑥1, 𝑥2 ≥ 0 defined on
A Bounded feasible space
B Unbounded feasible space
C Both bounded and unbounded feasible space
D None of these

Answer: Unbounded feasible space
6 Which of the terms is not used in a linear programming problem
A Slack variables
B Objective function
C Concave region
D Feasible solution

Answer: Concave region
7 The area of the feasible region for the following constraints 3𝑦 + 𝑥 ≥ 3, 𝑥 ≥ 0,𝑦 ≥ 0 will be
A Bounded
B Unbounded
C Convex
D Concave

Answer: Unbounded
8 For the L.P.problem

𝑀𝑖𝑛 𝑧 = 𝑥1 + 𝑥2 𝑠𝑢𝑐ℎ 𝑡ℎ𝑎𝑡 5𝑥1 + 10𝑥2 ≤ 0, 𝑥1 + 𝑥2 ≥ 1, 𝑥2 ≤ 4 𝑎𝑛𝑑 𝑥1, 𝑥2 ≥ 0

A There is a bounded solution
B There is no solution
C There are infinite solutions
D None of these

Answer: There is a bounded solution
9 In. L.P.P----
A objective function is linear
B constraints are linear
C Both objective function and constraints are linear
D None of the above

Answer: Both objective function and constraints are linear
10 Constraints means----
A limitations are expressed in mathematical equalities ( or inequalities)
B Assumption
C goal is to be achieved
D None of the above.

Answer: limitations are expressed in mathematical equalities ( or inequalities)
11 The region which satisfies all the constrains of the L.P.P. is called as----
A phisible region
B Feasible region
C convex region
D Concave region

Answer: Feasible region
12 In .L.P.P., while drawing the graph, on the X-axis Y values always-----
A 0
B 1
C 2
D None of the above

Answer: 0
13 The set of decision variable which satisfies all the constraints of the LPP is called as-----
A Solution
B Basic Solution
C Feasible solution
D None of the above

Answer: Solution
14 A solution which satisfies non-negative conditions also is called as-----
A Solution
B Basic Solution
C Feasible solution
D None of the above

Answer: Feasible solution
15 A solution which optimizes the objective function is called as ------
A Solution
B Basic Solution
C Feasible solution
D Optimal solution

Answer: Optimal solution

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