This document discusses interpreting the sensitivity analysis results from solving a linear programming problem in Excel. It provides examples of how to interpret the optimal solution, objective function value, allowable increases/decreases reported in the solver results, reduced costs, and impact of changing right-hand side constraints. It explains that changes beyond the allowable increases/decreases will alter the optimal solution and provides examples of interpreting the results for changes in objective function coefficients and right-hand side constraints.

1. By:
Zakaria Elsayed Hasaneen
Teaching Assistant at Faculty of Commerce
Accounting Department (English Section)
Kafrelsheikh University
OR
Section (3)
Interpreting Sensitivity Analysis on Excel Solver
Grade 4 –Term 2
Zakaria Hasaneen
Zakaria Hasaneen
Zakaria Hasaneen

2. Interpreting Excel's Solver Report
Max 50A + 60B + 55C
s.t.
A + B + C ≤ 100
2A + 3B + 2C ≤ 300
2A + 3B + 2C ≥ 250
A + 2C ≥ 60
A,B,C ≥0

4. Required
1. State the optimal solution
2. What is the optimal objective function value?
3. What would happen to the optimal solution if
a) the unit profit on B decreases by 20?
b) the unit profit on C decreases to 45?
c)the unit profits on A & C change to 53 (Simultaneous
Changes-100% Rule)?
4. Interpret the reduced cost for A
5. What would happen to the objective function if
a) the RHS of constraint 1 increases by 5?
b) the RHS of constraint 2 decreases to 250?
c) the RHS of constraint 4 changes to 44?
6. What are the slack/surplus values?
7. Which constraints are binding?

5. (1)

6. (2)

7. Now, these Allowable Increase & Decrease values specify
how much the objective coefficients can change before the
optimal solution will change.
BEFORE WE SOLVE POINT #3 ,WE SHOULD KNOW :

8. For example, since the Allowable Increase for A is 7.5, if we increase
the objective coefficient of A, from 50 to any value, up to an upper limit
of 57.5, the optimal solution will not change.
For the Allowable Decrease, Excel usually represents very large values with 1E+30. So you can
think of it as infinity. Thus the lower limit for the coefficient of A is negative infinity.

9. (3) A- So what will happen to the optimal solution if the unit profit on B (that is,
the coefficient) decreases by 20?
We can see here that the Allowable Decrease on B is 5. Therefore, the optimal solution will
change if we decrease it by 20.

10. That is, these final values will no longer be optimal.

11. (3) B-

13. (3) C-

16. (4)
The reduced cost of -7.5 here represents the amount by which profit will be reduced if we
include a unit of A in the solution.

17. so, product A is not attracting enough profit to
warrant its inclusion in the product mix.
To include product A (or to make A positive), it’s
profit contribution needs to improve by at least 7.5.
But at its current value of 50, making A positive in the
optimal solution will bring a reduction of 7.5 to
Profit, per unit.

18. 5- What would happen to the objective function if
a) the RHS of constraint 1 increases by 5?
b) the RHS of constraint 2 decreases to 250?
c)the RHS of constraint 4 changes to 44?
Requirement:

24. 6-

25. 7.