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Q.61 The number of solutions for the following system of inequalities is
X1≥ 0
X2 ≥ 0
X1+ X2 ≤ 10
2X1+ 2X2 ≥ 22

  1. 0
  2. infinite
  3. 1
  4. 2
asked in Numerical Ability by Veteran (45.5k points) 168 530 841 | 99 views

2 Answers

+2 votes

X≥ 0                             ...[1]
X2 ≥ 0                             ...[2]
XX≤ 10                    ...[3]
2X+ 2X 22                 ...[4]


Now the equation [4] can be written as
X
+ X≥ 11                     ...[5]
Now equation [3] and [5] cannot hold true together since X
≥ 0 and X2 ≥ 0.
Hence system of inequalities can never be satisfied.
Hence Answer A)0

 

answered by Boss (9k points) 27 43 78
0 votes
Equations can be written in AX=B form.

Rank of augmented matrix AB is 3 and rank of A is 2 so the system of non-homogeneous equations is inconsistent.

So no solution exists.

Option A)
answered by (419 points) 1 2 9


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