Linear Programming Short type Questions and Answers

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

View Answer

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

View Answer

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

View Answer

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.

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

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.

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

Answer: Optimal solution

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