Q.61 The number of solutions for the following system of inequalities is X1≥ 0 X2 ≥ 0 X1+ X2 ≤ 10 2X1+ 2X2 ≥ 22
X_{1 }≥ 0 ...[1] X_{2}_{ }≥ 0 ...[2] X_{1 }+ X_{2 }≤ 10 ...[3] 2X_{1 }+ 2X_{2 }≥ 22 ...[4]
Now the equation [4] can be written as X_{1 }+ X_{2 }≥ 11 ...[5] Now equation [3] and [5] cannot hold true together since X_{1 }≥ 0 and X_{2}_{ }≥ 0. Hence system of inequalities can never be satisfied. Hence Answer A)0
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