SOLUTION: find the maximum value of the objective function z=3x+5y subject to the folloing constraints: x greater than or equal to 2, y greater than or equal to 0, x+y less than or equal to

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Question 251014: find the maximum value of the objective function z=3x+5y subject to the folloing constraints: x greater than or equal to 2, y greater than or equal to 0, x+y less than or equal to 6.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Graph the constraints to find the feasible region.





As we see the feasible region is a triangle with vertices at (2,0),(2,4),and (0,6).
The max and min of the objective function occurs at one of these vertices.
(2,0):
(2,4):
(6,0):
The max value of 26 occurs at (2,4).

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