1-The above problem is assigned ________ "Dual" variables _________ in the process of converting it into a "Dual LP" model. *

None of the answers.

three; X1, X2, & X3

three; Y1, Y2, & Y3

two; X1 & X2

two; Y1 & Y2

2-The "Dual" objective function is written as *

None of the answers.

maximize w = 65y1 + 42y2

maximize w = 6y1 + 4y2

minimize w = 65y1 + 42y2

minimize w = 6y1 + 4y2

3-The first "Dual" constraints is written as *

y1 + 3y2 4

y1 + 3y2 65

y1 + 3y2 65

y1 + 3y2 4

None of the answers.

4-The 2nd "Dual" constraint is written as *

7y1 + 5y2 6

5y1 + 7y2 6

5y1 + 7y2 6

None of the answers.

7y1 + 5y2 6

5-The variables condition of the resulting "Dual Model" is written as *

Y(i) 0

None of the answers.

Y(i) unrestricted

Y(i) 0

Y(i) = 0

6-After applying "The Simplex Method" on the "Dual" model, the optimal value of z is *

maximum z = 78

None of the answers.

minimum z = 78

minimum z = 49

maximum z = 49

7-The optimal value of X1 is *

0

None of the answers.

2.8

1.2

13

8-The optimal value of X2 is *

1.2

13

None of the answers.

2.8

0

9-For each "Primal" ____________ assign a "Dual" ___________. *

variable; coefficient of the objective function

None of the answers.

objective function coefficient, variable

constraint; variable

constraint RHS; Variable

10-The ________ of the _________ constraints become the _________ of the ___________ objective function *

coefficient ; Primal; Coefficient; Dual

RHS; Primal; RHS; Dual

inequality sign; Primal; inequality sign; Dual

RHS; Primal; Coefficient; Dual

None of the answers.

Minimize z = 4x1 + 6x2 Subject to X1 + 5x2 2 65 3x1 + 7x2 > 42 Xi 20