Question 6 to Question 8 are based on this problem:

QUESTION 6

Solve the following LP model graphically.

Min: 4X1 + 5X2

Subject to:

2X1 + 3X2 120

4X1 + 2X2 160

X1 + X2 40

X1, X2 0

Which of the following statement is true?

A.

To plot the constraint of 2X1 + 3X2 120 at equality, we need to connect point (30, 0) and point (0, 20).

B.

To plot the constraint of 2X1 + 3X2 120 at equality, we need to connect point (40, 0) and point (0, 60).

C.

To plot the constraint of 4X1 + 2X2 160 at equality, we need to connect point (40, 0) and point (0, 80).

D.

To plot the constraint of X1 + X2 40 at equality, we need to connect point (20, 0) and point (0, 20).

QUESTION 7

Which of the following statement is not true?

Group of answer choices

A.

(0,0) is included in the feasible region of 2X1 + 3X2 120.

B.

(0,0) is included in the feasible region of 4X1 + 2X2 160.

C.

(0,0) is included in the feasible region of X1 + X2 40.

D.

The feasible region of the LP is the overlap of all the feasible regions of the constraints.

QUESTION 8

Which of the following statement is not true?

Group of answer choices

A.

The optimal solution is X1 = 30 and X2 = 20. The optimal objective function value is 220.

B.

(0, 40) is one of the extreme points.

C.

(40, 0) is one of the extreme points.

D.

(0, 60) is one of the extreme points.