Match List I with List II List I

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Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Match List I with List II

List I		List II
A.	Feasible region of $2x+3y≥ 100; x+2y≤ 80; x≥14; y ≥ 16; x, y ≥ 0$ is	I.	Triangle containing origin and both the axes.
B.	Feasible region of $x+2y≤40;x+y ≤ 25; x ≥ 0, y ≥ 0$ is	II.	Unbounded region in 1st quadrant
C.	Feasible region is $x+2y ≤120, x ≥ 0, y ≥ 0$ is :	III.	Quadrilateral in 1st quadrant not containing either of the axes.
D.	Feasible region is $x+2y ≥ 120, x ≥ 0, y ≥ 0$ is	IV.	Quadrilateral in 1st quadrant containing origin.

Choose the correct answer from the opinions given below :

Options:

A-III, B-I, C-II, D-IV

A-IV, B-I, C-III, D-II

A-III, B-IV, C-I, D-II

A-I, B-II, C-III, D-IV

Correct Answer:

A-III, B-IV, C-I, D-II

Explanation:

The correct answer is Option (3) → A-III, B-IV, C-I, D-II

List I		List II
A.	Feasible region of $2x+3y≥ 100; x+2y≤ 80; x≥14; y ≥ 16; x, y ≥ 0$ is	III.	Quadrilateral in 1st quadrant not containing either of the axes.
B.	Feasible region of $x+2y≤40;x+y ≤ 25; x ≥ 0, y ≥ 0$ is	IV.	Quadrilateral in 1st quadrant containing origin.
C.	Feasible region is $x+2y ≤120, x ≥ 0, y ≥ 0$ is :	I.	Triangle containing origin and both the axes.
D.	Feasible region is $x+2y ≥ 120, x ≥ 0, y ≥ 0$ is	II.	Unbounded region in 1st quadrant