SOLUTION: Find the maximum and minimum values of f(x,y)=2y+x for the polygonal convex set determined by this system of inequalities. x>=1, y>=0, x<=4-y A. minimum: 1; maximum: 4 B. minim

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Find the maximum and minimum values of f(x,y)=2y+x for the polygonal convex set determined by this system of inequalities. x>=1, y>=0, x<=4-y A. minimum: 1; maximum: 4 B. minim      Log On


   



Question 388492: Find the maximum and minimum values of f(x,y)=2y+x for the polygonal convex set determined by this system of inequalities. x>=1, y>=0, x<=4-y
A. minimum: 1; maximum: 4
B. minimum: 0; maximum: 5
C. minimum: 1; maximum: 7
D. minimum: 4; maximum: 8

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The feasible region is defined by plotting the bounding equations.
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The vertices are the points were the function maximum or minimum occur.
Check the value at each point.
(1,3):f=2y%2Bx=2%283%29%2B1=6%2B1=7
(1,0):f=2y%2Bx=2%280%29%2B1=1
(4,0):f=2y%2Bx=2%280%29%2B4=4
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C is the correct answer.