Answer: The maximum value of P is 38 at (7,2)
Explanation:
To find the maximum value of

Subject to the following constraints:-

From this we get boundary equations of the given inequalities as

Now, find points from which the above lines are passing.
In (1) at y=0, x=13
At y=1, x=10
So line (1) passing through (13,0) and (10,1)
Similarly, In (2), at x=1, y=11
At y=2, x=7
So line (2) is passing through (1,11) and (7,2)
Plot theses lines on the graph by using these points .
Corner points of the shaded region = (0,4.33) , (8,33,0) and (7,2)
The value of P at corner points :-

Clearly, the maximum value of P is 38 at (7,2)