Question

Consider the graph of constraints stated as linear inequalities as below
$5 x+y \leq 100 $...(i)
$ x+y \leq 60 $...(ii)
$x \geq 0 $....(iii)
$y \geq 0$...(iv)

where, $x$ and $y$ are number of tables and chairs on which a furniture dealer wants to make his profit.
Assertion (A) $(25,40)$ is an infeasible solution of the problem.
Reason (R) Any point inside the feasible region is called an infeasible solution.

• A. Both A and R are correct; R is the correct explanation of $A$
• B. Both $A$ and $R$ are correct; $R$ is not the correct explanation of $A$
• C. $A$ is correct; $R$ is incorrect
• D. R is correct; A is incorrect

Answer 1

Answer: (C)

Any point outside the feasible region is called an infeasible solution. For example, the point $(25,40)$ is an infeasible solution of the problem.