Question

For the objective function $Z=x+2y,$ subject to constraints : $x-y\le -1,-x+y\le 0,$ which of the following(s) is not correct:

• A. $Z_{max}=1$
• B. $Z_{min}=-1$
• C. $Z_{min}=0$
• D. No feasible solution is possible.

Answer 1

Answer: (A), (B), (C)

$Z_{min}=0$

Given constraints : $x-y\le -1,-x+y\le 0.$
and objective function, $Z=x+2y$
Plotting the graph to get feasible region :
From graph , there is no feasible region for the given constraints
So, no feasible solution is possible.