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

MCQ

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

A
The problem is infeasible
B
The solution is unbounded
C
One of the constraints is redundant
D
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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