Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities. 3x + 4y 19

-3x + 7y S 25

-6x + 3y 2-27

f(x, y) = 2x+10y

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

f is the midpoint of