The following table shows the sensitivity analysis for a LP problem.

5. If the objective coefficient of Product 4 is decreased by 5 units then what happened for optimal solution?

6. If there are Simultaneous changes in objective coefficients of Product 2 and Product 3

such that the coefficients of product 2 increases by 2 units and coefficients of product 3 decreases by 7 units then what happened for optimal solution?

7. If RHS value of the constraint Time in Department 2 decreases by 20 units then what happens for optimal solution?

8. If we add a new constraint: P₁ + P₂ 200 to LP, what happens for optimal solution?

Adjustable Cells Final Value Objective Coefficient 25 Allowable Decrease 1E+30 50 Cell Name $B$10 No. of Units Product 1 $C$10 No. of Units Product 2 $D$10 No. of Units Product 3 $E$10 No. of Units Product 4 Reduced Cost 0 0 -4.375 0 Allowable Increase 13.625 4.5 4.375 6.6 18 5.5 237.5 0 268.75 32 15 1E+30 2.058823529 Constraints Cell Name $B$16 Department 1 time LHS $B$17 Department 2 time LHS $B$18 Material LHS $B$19 Min production level LHS Final Value 150 102.8125 1800 Shadow Constraint Price R.H. Side 41.25 150 0 120 2.25 1800 - 13.625 Allowable Increase 30.55555556 1E+30 475 93.47826087 Allowable Decrease 31.66666667 17.1875 358.3333333 50 50 50