Q6)Examine the LP formula shown below. I have already graphed the axes and the feasible region but I have not identified the constraints. This appears in Figure 1 note that the feasible region is the 5-sided polygon formed by the corner (extreme) points labeled A, B, C, D, and E. However, you will still have to construct and move the objective function line (when provided) in order to find the optimal solution.

Objective Function: ?????????????

Subject to: 2X + 3Y < 50

2X + Y < 30

- X +2Y < 18

X > 4

X 0 and Y 0

Figure 1: Coordinate Axes and Feasible Region for LP Problem

Y-AXIS

desmos-graph (1).png

What is the Constraint defined by the points A and B in the feasible region shown in Figure 1?

Group of answer choices

y>=0

2x+3y<=50

2x+y<=30

-x+2y<=18

x>=4

Q7)

Examine the LP formula shown below. I have already graphed the axes and the feasible region but I have not identified the constraints. This appears in Figure 1 note that the feasible region is the 5-sided polygon formed by the corner (extreme) points labeled A, B, C, D, and E. However, you will still have to construct and move the objective function line (when provided) in order to find the optimal solution.

Objective Function: ?????????????

Subject to: 2X + 3Y < 50

2X + Y < 30

- X +2Y < 18

X > 4

X 0 and Y 0

Figure 1: Coordinate Axes and Feasible Region for LP Problem

Y-AXIS

desmos-graph (1).png

If the objective function is to maximize 2x+5y, then which extreme point is the optimal solution?

Group of answer choices

A

C

E

B

D