01. Min: 7X₁+ 15X₂

Subject to: X₁+ X₂ 2

2X₁+ 5X₂ 20

4 X₁- X₂ 10

X₁ 10,

X₁ 0, X₂ 0

How many corner points exist in the feasible region? Report only numerical values.

02.Which of the following points are in the feasible region?

Select one:

A. (0.5,5)

B. (1,4)

C. (2,3)

D. (3,3)

E. (4,1)

03.In the feasible region, for the corner point on the rightest position, what is its x1 value? Report only numerical value, keep three decimal places.

04.For the constraint line for the constraint line 4x1-x2=10, on what side does it hold, 4x1-x2<10?

05.When moving the objective function line to find the optimal solution in the feasible region, toward which side should we move the objective function line?

Select one:

A. Right

B. Left

06.In the feasible region, what is the largest x2 value of all points? Report only numerical values, keep three decimal places.

07.What is the objective function value at the optimal solution? Report only numerical values, keep three decimal places.