SOLUTION: Graph the feasible region for the follow system of inequalities by drawing a polygon around the feasible region. 4y+5x≥32 2y+x≥8 y+x≥7 y+x≤8 x≥0 y≥0

Question 1176201: Graph the feasible region for the follow system of inequalities by drawing a polygon around the feasible region.
4y+5x≥32
2y+x≥8
y+x≥7
y+x≤8
x≥0
y≥0

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
here's your graph.

first is without corner points identified.
second is with corner points idenified.

the desmos.com calculator makes this easy.

you graph the opposite of the inequalities.
the feasible region is the area of the graph that is unshaded.
the corner points of the feasible region contain the max /min solution of the objective function.
that objective function was not identified in this problem.
any point in the feasible region must satisfy all the constraints.
if the inequalities are >= or <=, then the points can be on the lines themselves.

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