Question 670640: Find the minimum and maximum for P = 3x + y.
Vertices are (0,0), (4, 0), (3, 4), (0, 10). With Graph.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! Evaluate the objective function,  , at each vertex
The maximum (if it exists) is the largest value of at a vertex. The minimum is the smallest value of at a vertex.
vertices are ( ,), ( , ), ( , ), (,  ).
Put the vertices into a table:
 |---|
(0,0)| | min|
(4, 0)| | |
(3, 4)| |max |
(0, 10)| | |
so, the minimum is at the point (, ) with a value of  and
the maximum is at the point (, ) and the value is 
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