The corner points of a feasible region in a linear programming problem are (8, 0), (7, 2), (5, 3), (3, 6), and (0, 9). What is the relation between the maximum value (M) and the minimum value (m) of the objective function Z = 2x + 12y.  

1
27M = 4m
2
27M + 4m = 0
3
4M = 27m
4
4M + 27m = 0

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