Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities.
3x+2y≥14
-8x+3y≤10
f(x, y)=8x+8y

Option b (4,1)

Step-by-step explanation:

The region given by the system of inequalities is shown in the graph. We must look within this region for the point that minimizes the objective function

The minimum points are found in the lower vertices of the region.

These vertices are found by equating the equations of the lines::

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The lower vertices are:

(4, 1) (2, 4)

Now we substitute both points in the objective function to see which of them we get the lowest value of

Then the value that minimizes f(x, y) is (4,1).

Option b

x= 149. 24+7=31. 180-31=149

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