the first contraint (c1) is 12x+4y<=486x+8y>=4812x+8y>=4812x+8y<=48the second constraint (c2) is 2x+6y<=122x+6y>=242x+6y>=122x+6y<=24Which constraint is redundant c2 c1 C4 no redundant constraintThe third constraint (c3) is 8x8y>=8 8x+8y<=8 8x+8y>=8 8x8y<=8if o.f (ojective function ) is Max: Z=8x+10y. By using the Z value or o.f. line, the optimal point is N K Gthe fourth constraint (c4) is 4x<a 4y<m8 4x>=8 4y>=8.