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Below is the solution:

vertices: (0,3)(1.5, 3.5)(5,0) 
xy(0,3)= 0,3;6x – 4y= -12 
xy(1.5, 3.5)= 1.5,3.5;6x – 4y= -5 
xy(5,0)= 5,0;6x – 4y= 30 
maximum value = 30