Max z 400x 100x S.t 8x 10x, 80 2x 6x2 336 X, X,20 Optimal Obi. Value z 4000 Reduced Cost Value 10 Variable X2 Dual Value 50 Slack and Surplus 16 Obi. Coefficient 400 Constraint Allowable Increase 1E+30 400 Allowable Decrease 320 1E+30 Variable 100 RHS Value 80 x2 Allowable Decrease 80 16 Constraint Allowable Increase 64 1E+30 36 Use Computer Output 3. Suppose the right hand side of constraint 1 is decreased by 82. Which one of the following statements is guaranteed to be true? O the dual price of 50 is still valid O the z-value becomes -100 o the z-value becomes 8100 o the problem must be resolved