Suppose that the objective function changes to maxz = 3x1 + (7 + ∆)x2 + 5x3. write down the new simplex tableau in which x3 and x2 are basic variables. for what range of ∆ does that tableau show an optimal solution? write down an optimal solution and a formula for the optimal value for ∆ in that range. does ∆ = 4 belong to that range? find an optimal solution and the optimal value for ∆ = 4.