Maximum value of subject to constraints , and , is given by
No Feasible Region
Explaination for the correct option:
Finding the maximum value:
Given
The given constraints are and
Let us consider the equations as
Adding both equations, we get
which is wrong.
Also on plotting the graph of the constraint inequalities we get
There is no common point or commonly feasible area and thus there will be no maximum value.
Hence, option (4) is correct.