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Question

Mathematics Question on Linear Programmig Problem

Match List I with List II

List IList II
A. The region represented by x0,y0x \geq 0, y \geq 0I. no feasible region
B. The region represented by the inequalities 2x+y3,x+2y6,x,y02x + y \geq 3, x + 2y \geq 6, x,y \geq 0II. 1st quadrant
C. The region represented by the inequalities x+2y8,3x+2y12,x,y0x + 2y \leq 8, 3x + 2y \leq 12, x,y \geq 0III. unbounded
D. The region represented by the inequalities x+y2,3x+5y15,x,y0x + y \leq 2, 3x + 5y \geq 15, x,y \geq 0IV. bounded

Choose the correct answer from the options given below:

A

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

B

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

C

А-II, В-III, C-IV, D-I

D

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

Answer

А-II, В-III, C-IV, D-I

Explanation

Solution

The correct option is (C): А-II, В-III, C-IV, D-I