The shaded region OABD in the given figure is the feasible region is bounded, so, maximum value will occur at a corner point of the feasible region.
Corner Points are O (0, 0), A (7,0), B (3,4) and D (0,2)
Now we will substitute these values in Z at each of these corner points, we get
Hence, the maximum value of Z is 43 at the point (3,4).
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