Question: 1-The objective function equation in standardized form is written as * z = 6x1 - 8x2 - 4x3 - 0 z - 6x1 - 8x2

1-The objective function equation in

1-The objective function equation in "standardized" form is written as *

z = 6x1 - 8x2 - 4x3 - 0

z - 6x1 - 8x2 + 4x3 = 0

None of the answers.

z - 6x1 + 8x2 - 4x3 = 0

z - 6x1 - 8x2 - 4x3 = 0

2-Add/Subtract a slack/surplus variable to the 1st constraint *

None of the answers.

5x1 + x2 + 3x3 - S1 30

5x1 + x2 + 3x3 + S1 30

5x1 + x2 + 3x3 + S1 = 30

5x1 + x2 + 3x3 - S1 = 30

3-Add/Subtract a slack/surplus variable to the 2nd constraint *

None of the answers.

x1 + 7x2 + 9x3 - S2 = 126

x1 + 7x2 + 9x3 - S2 126

x1 + 7x2 + 9x3 + S2 126

x1 + 7x2 + 9x3 + S2 = 126

4-Add/Subtract a slack/surplus variable to the 3rd constraint *

2x1 + 3x2 + x3 - S3 60

2x1 + 3x2 + x3 + S3 60

2x1 + 3x2 + x3 - S3= 60

None of the answers.

2x1 + 3x2 + x3 + S3 = 60

5-_____ is the "1st entering variable" since it has the ________ which is equal to __________ *

X2; minimum positive coefficient; 8

X2; most negative coefficient; -8

X2; minimum positive ratio; 8

None of the answers.

X2; most positive coefficient; -8

6-__________ is the "1st leaving variable" since it has the/a _________. *

S3; minimum positive ratio

S1; minimum positive ratio

S2; minimum negative ratio

None of the answers.

S2; minimum positive ratio

7-The first pivot element is the intersection of the _________________ &_____________ it's equal to _________. *

Pivot column; pivot row; 5

Pivot column; pivot row; 7

None of the answers.

Pivot column; z-row; 4.25

Pivot column; z-row; 4

8-The "new pivot row" of the first iteration is written as: *

(014, 1, 1.29, 0, 0.14, 0, 18)

None of the answers.

(0.14, 1, 1.29, 0, 0.14, 0, 1.8)

(0.14, 1, 1.29, 0, 0.14, 0, 18)

(0.14, 1, 129, 0, 0.14, 0, 18)

9-The "New Z-row" of the first iteration is written as: *

(-4.86, 0, 6.29, 0, 1.14, 0, 144)

(4.86, 0, 6.29, 0, 1.14, 0, 144)

(-4.86, 0, 6.29, 0, 1.14, 0, 1.44)

None of the answers.

(-4.86, 0, 6.29, 0, 114, 0, 144)

10-The values of the "first basic" variable in the first iteration, is written as: *

(4.86, 0, 171, 1, -0.14, 0, 12)

(4.86, 0, 1.71, 1, 0.14, 0, 12)

None of the answers.

(4.86, 0, 1.71, 1, -0.14, 0, 12)

(-4.86, 0, 1.71, 1, -0.14, 0, 12)

11-The values of the "3rd basic" variable in the first iteration, is written as: *

(1.57, 0, 2.86, 0, -0.43, 1, 0.6)

(1.57, 0, -2.86, 0, 0.43, 1, 0.6)

(1.57, 0, -2.86, 0, 0.43, 1, 6)

(1.57, 0, -2.86, 0, -0.43, 1, 0.6)

None of the answers.

12-The 2nd entering variable is ______ with a coefficient of______. *

X1; -4.86

X2; 0

X3; 6.29

X1; -6

None of the answers.

13-The 2nd leaving variable is *

None of the answers.

14-The pivot element of the 2nd iteration is *

1.71

4.86

1.57

None of the answers.

-0.43

15-The "new pivot row" of the 2nd iteration is written as: *

(1.57, 0, 2.86, 0, -0.43, 1, 0.6)

(1.57, 0, -2.86, 0, 0.43, 1, 0.6)

None of the answers.

(1, 0, 0.35, 0.21, -0.03, 0, 2.47)

(1.57, 0, 2.86, 0, 0.43, 1, 0.6)

16-The "New Z-row" of the 2nd iteration is written as: *

(0, 0, 8, 1, 1, 0, 15.6)

(0, 0, 8, 1, 1, 0, 156)

None of the answers.

(0, 0, 0.8, 1, 1, 0, 156)

(0, 8, 0, 1, 1, 0, 156)

17-The values of the "second basic" variable in the 2nd iteration, is written as: *

None of the answers.

(0, 1, 1.24, 0.03, -0.15, 0, 17.65)

(0, 1, 1.24, -0.03, 0.15, 0, 17.65)

(0, 1, 1.24, 0.03, 0.15, 0, 17.65)

(0, 1, -1.24, -0.03, 0.15, 0, 17.65)

18-The values of the "3rd basic" variable in the 2nd iteration, is written as: *

(0, 0, -3.41, 0.32, -0.38, 1, 2.12)

(0, 0, -3.41, 0.32, 0.38, 1, 2.12)

(0, 0, -3.41, -0.32, -0.38, 1, 2.12)

None of the answers.

(0, 0, -3.41, -0.32, 0.38, 1, 2.12)

19-The optimal value of "z" is: *

maximum z = 156

maximum z = 144

minimum z = 126

None of the answers.

minimum z = 15.6

20-The optimal value of "X1" is: *

17.65

None of the answers.

2.47

2.12

21-The optimal value of "X2" is: *

2.47

17.65

None of the answers.

2.12

22-The optimal value of "X3" is: *

2.12

2.47

17.65

None of the answers.

23-The optimal value of z in terms of D1, D2, & D3 (Changes in the RHS) is written as: *

z = 156 + D1 - D2

z = 156 - D1 + D2

z = 156 + D1 + D2

z = 156 - D1 - D2

None of the answers.

24-A unit increase in D1, D2, & D3 will result in a/an ________ in z by ------------- respectively. *

increase; 1, 1, & 0

decrease; 1, 0, & 0

decrease; 0, 1, & 1

increase; 0, 1, & 0

None of the answers.

25-The optimal value of X1 in terms of D1, D2, & D3 (Changes in the RHS) is written as: *

X1= 2.47 - 0.21D1 + 0.03D2

None of the answers.

X1= 2.47 - 0.21D1 - 0.03D2

X1= 2.47 + 0.21D1 - 0.03D2

X1= 2.47 + 0.21D1 + 0.03D2

Maximize z=6x1 + 8x2 + 4x3 Subject to 5x1 + x2 + 3x3 30 X1 + 7x2 + 9x3

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