The L.P. problem Max z = x1 + x2 such that -2x1 + x2 ≤ 1, x1 ≤ 2, x1 +x2 ≤ 3 and x1 , x2 ≥ 0 has

Question

The L.P. problem Max z = x1 + x2 such that -2x1 + x2 ≤ 1, x1 ≤ 2, x1 +x2 ≤ 3 and x1 , x2 ≥ 0 has (A) One solution (B) Three solution (C) An infinite no. of solution (D) None of these

Tardigrade Admin · Accepted Answer

Objective function is same as constraint so there are infinite solutions possible.

Q. The L.P. problem Max z=x1​+x2​ such that −2x1​+x2​≤1,x1​≤2,x1​+x2​≤3 and x1​,x2​≥0 has

One solution

Three solution

An infinite no. of solution

None of these

Objective function is same as constraint so there are infinite solutions possible.

Q. The L.P. problem Max $z = x_{1} + x_{2}$ such that $- 2 x_{1} + x_{2} \leq 1, x_{1} \leq 2, x_{1} + x_{2} \leq 3$ and $x_{1}, x_{2} \geq 0$ has