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alina1380
1 month ago
6

A system has the following constraints: x + y ≥ 80 3x + 2y ≤ 360 x + 2y ≤ 200 x ≥ 0 y ≥ 0 Which graph represents the feasible re

gion for the system?

Mathematics
2 answers:
Zina [12.3K]1 month ago
8 0
The constraints presented include: x + y ≥ 80, which results in a line intersecting (80,0) and (0,80) with the area above the line shaded; 3x + 2y ≤ 360, correlating with a line connecting (120,0) and (0,180) with shading toward the origin; and x + 2y ≤ 200, creating a line between (200,0) and (0,100) where the shaded area is again directed towards the origin. With both x and y being non-negative, the feasible area will be situated in the first quadrant, delineating a pentagonal shape as illustrated in the graph.
zzz [12.3K]1 month ago
5 0
We consider the constraints: x + y ≥ 80; 3x + 2y ≤ 360; x + 2y ≤ 200; x ≥ 0; y ≥ 0. By utilizing graphing software, refer to the attached image to see the solution represented as the shaded region.
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Step-by-step explanation:

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