Answer to the questions in the text box provided. Show all your calculations to find answers. Sensitivity and range reports of the following LP are provided below. maximize 3*x1+4*2+x3+5 x4 x1+2x2+x3+2"x42-5 2*x1+3x2+x3+3*x42-8 X3+x4> 3 x1, x2 > 0 Ranges in which the basis is unchanged Objective value: 11.00000 Objective Coefficient Ranger Variable Value X1 0.000000 X2 0.000000 X3 1.000000 X4 2.000000 Reduced Cost 1.000000 4.000000 0.000000 0.000000 Variable XI X2 X3 X4 Current Coefficient 1000000 4.000000 1.000000 5.000000 Allowable Increase 1.000000 4000000 1.000000 INFINITY Allowable Decrease INFINITY INFINITY INFINITY 1000000 Righthand Side Ranges Row Stack or Surplus Dual Price 1 11.00000 1.000000 2 0.000000 4.000000 3 1.000000 0.000000 4 0.000000 -3.000000 Row 2 3 4 RUS 5.000000 8.000000 3.000000 Allowable Increase 0.5000000 INFINITY 2.000000 Allorable Decrease 2.000000 1.000000 0 5000000 a) Which constraints are binding at the optimal solution? Explain why? b) if the RHS of the 3rd constraint is increased by 2 what would happen to the optimal basis? And what would happen to the optimal objective function value? c) If the obj function coefficient of 4 is increased too, what would happen to the optimal basis and what would happen to the optimal objective function value