If two constraints do not intersect in the positive quadrant of t… - Vidyadip

Question

If two constraints do not intersect in the positive quadrant of the graph, then.

The problem is infeasible
The solution is unbounded
One of the constraints is redundant
None of the above

✓

Answer

The problem is infeasible

Solution:

Any linear programming problem must have the following properties:-1.

The relationship between variables and constraints must be linear2.

The constraints must be non - negative.3.. objective function must be linear.

Non - negativity conditions are used because the variables cannot take negative values.

i.e., it is not possible to have negative resources (land, capital, labour cannot be negative).

Because of the non - negativity condition, the feasible region exists only in I quadrant.

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