Consider Minimize z = 3x + 2y subject to x + y ≥ 8 3x + 5y ≤ 15 x, y ≥ 0 It has :

Question

Consider Minimize z = 3x + 2y subject to x + y ≥ 8 3x + 5y ≤ 15 x, y ≥ 0 It has : (A) Infinite feasible solutions (B) Unique feasible solution (C) No feasible solution (D) None of these

Tardigrade Admin · Accepted Answer

Given problem is minimize z = 3x + 2y subject to x +y

\geq

8,
3x + 5y

\leq

15
x, y

\geq

0
First we convert these inequations into equations and draw the graph.
Since, there is no feasible region, therefore no feasible solution.

Q. Consider Minimize z=3x+2y subject to x+y≥8 3x+5y≤15 x,y≥0 It has :

Infinite feasible solutions

Unique feasible solution

No feasible solution

None of these

Given problem is minimize z = 3x + 2y subject to x +y ≥ 8, 3x + 5y ≤ 15 x, y ≥ 0 First we convert these inequations into equations and draw the graph. Since, there is no feasible region, therefore no feasible solution.

Q. Consider
Minimize $z = 3 x + 2 y$
subject to $x + y \geq 8$
$3 x + 5 y \leq 15$
$x, y \geq 0$
It has :

Given problem is minimize z = 3x + 2y subject to x +y $\geq$ 8,
3x + 5y $\leq$ 15
x, y $\geq$ 0
First we convert these inequations into equations and draw the graph.
Since, there is no feasible region, therefore no feasible solution.