SOLUTION: How do you find the minimum and maximum values of each function over the feasible region F(X)=3x+y

Question 826057: How do you find the minimum and maximum values of each function over the feasible region

F(X)=3x+y
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The feasible region forms a polygon.
You find the coordinates of the vertices (corners) of the feasible region, and calculate for the (x,y) coordinates at each corner.
A linear function will be maximum at one or two of those vertices.
If it is maximum at 2 vertices, it will have the same value at the side/edge of the feasible region that connects those two vertices.
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