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

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10