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Sol:Maximise f=6x+7ySubjecfed to 7x+6y <= 42=>7x+6y+S_(1)=42[S_(1) >= 0]{:[5x+9y <= 45=>5x+9y+S_(2)=45[S_(2) >= 0]],[x-y <= 4=>x-y+s_(2)=4[S_(3) >= 0]],[x⩾0","y >= 0]:}No. of Varlables (n)=5 [2 Decision + 3slack]No. of constraints n=3Maximise delta=6x+7y+0xxs_(1)+0xxs_(2) toxs _(3){:[7x+6y+s_(1)+0xxs_(2)+0xxs_(3)=42],[5x+9y+0xxs_(1)+s_(2)+0xxs_(3)=45],[x-y+0xxs_(1)+0xxs_(2)+s_(3)=4]:}No. of basic Variables n= ... See the full answer