Given below is a fictitious Excel output (numbers might be all made up) Answer the questions...

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Statistics

  1. 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

        12

74

50

20

Const2

54

8.5

54

42

40

Const3

35

-5

35

25

20

Conts4

80

0

120

30

25

(a)        What is the objectivefunction? You will write the algebraic version like
                         Z= 2X1+ 3X2+…etc (10)




(b)         What is theoptimal solution, and the optimal value of the objective function?(15)

(b)         Can we makethe following change to the RHS of the constraints as follows:(20)

                            const. 1   +20
                            const. 2    -10
                            const. 3     -5

                            
If so, what is the value of the objective function after thechange. (you will show FULL work)

Answer & Explanation Solved by verified expert
4.0 Ratings (507 Votes)
a The objective function will be given by the objectivecoefficients in the first tableb The optimal solution is given by the final    See Answer
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