The maximum value of subject to constraints , and is
None of these
Explanation for the correct option:
Find the critical points of the given function.
In the question, a function is given, and the constraints , , and is also given.
Draw a graph describing the given inequalities as follows:
From the graph, it is clear that there is no critical point. because there is no area in the graph where all the four given inequalities hold.
So, The given function does not attain any maximum value.
Hence, option is the correct answer.