- Given below is a fictitious Excel output (numbers might be allmade up) Answer the questions that follow. You are being tested foryour ability to read the output and your skill in sensitivityanalysis as taught in class.)
Variable Cells
| | | | | | |
| | | Final | Reduced | Objective | Allowable | Allowable | |
| Cell | Name | Value | Cost | Coefficient | Increase | Decrease | |
| $B$6 | X1 | 45 | 0 | 12 | 10 | 8 | |
| $C$6 | X2 | 0 | -6 | 8 | 15 | 12 | |
| $D$6 | X3 | 10 | 0 | 5 | 20 | 15 | |
| $E$6 | X4 | 35 | 0 | 6 | 8 | 10 | |
| | | | | | | | |
Constraints | | | | | | |
| | | Final | Shadow | Constraint | Allowable | Allowable | |
| Cell | Name | Value | Price | R.H. Side | Increase | Decrease | |
| | Const1 | 74 | Â Â Â Â Â Â Â 12 | 74 | 50 | 20 | |
| | Const2 | 54 | 8.5 | 54 | 42 | 40 | |
| | Const3 | 35 | -5 | 35 | 25 | 20 | |
| | Conts4 | 80 | 0 | 120 | 30 | 25 | |
(a) Â Â Â Â Â Â What is the objectivefunction? You will write the algebraic version like
                         Z= 2X1+ 3X2+…etc (10)
(b)Â Â Â Â Â Â Â Â What is theoptimal solution, and the optimal value of the objective function?(15)
(b)Â Â Â Â Â Â Â Â Can we makethe following change to the RHS of the constraints as follows:(20)
                            const. 1  +20
                            const. 2   -10
                            const. 3    -5
                           Â
If so, what is the value of the objective function after thechange. (you will show FULL work)