Question

Which is the following ordered pairs are solutions to the system in the feasible region showed on the graph? Select all the apply
A. (400, 100)

B. (200, 100)

C. (300, 100)

D. (400, 200)

Answer 1

Two answers: Choice A and Choice C

(400,100) and (300,100)

Explanation:

See the diagram below. I have plotted the points given. We see that points A(400,100) and C(300,100) are either in the shaded region or they are on the solid boundary line. These points are in the feasible region. Anything on the solid boundary line is part of the solution set (in contrast, if the boundary line was dashed or dotted, then boundary line points don't count).

Points B(200,100) and D(400,200) are outside of the shaded region, and they are not on any boundary line either. So these points are not solutions.

Note: For a boundary point to be a solution, it must be directly adjacent to the shaded region. A point like (0,500) is on a boundary line but it is far removed from the shaded region. So (0,500) is not a solution.

Answer 2

Answer:

(400, 100)

(300, 100)

Step-by-step explanation:

If you plot all the ordered pairs given on the graph, (300, 100) would fall within the shaded region and (400,100) would fall within the solid boundary lines.