SOLUTION: Find the minimum and maximum for P = 3x + y. Vertices are (0,0), (4, 0), (3, 4), (0, 10). With Graph.

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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