1-Which of the following constraints represents that of S3 *

X11 + X12 + X13 + X14 = 16

X31 + X32 + X33 + X34 = 20

X11 + X12 + X13 + X14 = 14

None of the answers.

X31 + X32 + X33 + X34 = 25

2*The assigned value to X22 using the "Northwest Corner Method"is *

2

13

18

None of the answers.

23

3-The assigned value to X44 using the "Northwest Corner Method"is *

23

None of the answers.

2

13

18

4-The initial transportation cost is *

$596

None of the answers.

$956

$695

$569

5-Using the Method of Multipliers, the values of U1, U2, U3,& U4 in the 1st iteration, are respectively *

0, 5, 1, -5

0, 5, -1, 5

0, 5, -1, -5

None of the answers.

0, 5, 1, 5

6-Using the Method of Multipliers, the values of V1, V2, V3,& V4 in the 1st iteration, are respectively *

2, -7, 8, 10

2, 7, 8, 10

2, 7, -8, 10

2, 7, 8, -10

None of the answers.

7-The 1st entering variable is ____________ since it has the______________ reduced cost & it's equal to_________. *

None of the answers.

X14; most negative; -16

X24; most positive; +9

X41; most negative; -2

X14; most positive; +16

8-The 1st closed loop consists of cells *

None of the answers.

X14, X12, X22, X23, X31, X34

X14, X12, X22, X23, X33, X34

X43, X44, X42, X33

X24, X34, X33, X23

9-The value of θ1 is *

22

None of the answers.

4

12

2

10-The 1st leaving variable is *

X22

X23

X11

X34

None of the answers.

11-The transportation cost resulting from the 1st iteration is:*

$758

None of the answers.

$587

$578

$785

12-Using the Method of Multipliers, the values of U1, U2, U3,& U4 in the 2nd iteration, are respectively *

0, -5, -1, 4

0, 5, 1, 4

0, 5, -1, -4

None of the answers.

0, 5, -1, 4

13-Using the Method of Multipliers, the values of V1, V2, V3,& V4 in the 2nd iteration, are respectively *

2, -7, 8, 1

None of the answers.

2, 7, 8, 1

2, 7, 8, -1

2, 7, -8, 1

14-The 2nd entering variable is *

X32

X43

X31

None of the answers.

X13

15-The 2nd closed loop consists of *

X32, X34, X14, X13

X32, X34, X14, X12

X13, X11, X34, X44, X34, X33

X13, X12, X22, X23

None of the answers.

16-The value of θ2 is *

4

None of the answers.

22

2

6

17-The 2nd leaving variable is *

X12

None of the answers.

X24

X14

X34

18-The optimal transportation cost is *

$750

$570

None of the answers.

$705

$507

19-Which of the following statements about "Northwest CornerMethod" is FALSE? *

One satisfy the supply for each row before moving down to thenext row.

One must satisfy the demand requirements of each column beforemoving to the next column

None of the answers.

one must check that all supply and demand constraints aremet.

when moving to a new row or column, one must select the cellwith the lowest cost.

20-In a "Balanced" Transportation problem, the numberof___________ and ______________ are equal. *

destinations; sources

positive cost coefficients; negative cost coefficients

None of the answers.

warehouses; suppliers

units supplied; units demanded

A company has four suppliers S1, S2, S3 and 54. The capacity of these suppliers is: 20, 25, 20, and 18, respectively. The company has four factories F1, F2, F3, and F4. The demand of these factories is 18, 15, 30 and 20, respectively. The transportation cost is given in the below table: F1 F2 F3 F4 S1 2 7 4 5 S2 11 12 13 6 S3 20 17 7 9 S4 12 11 13 5