Given the systems of constraints, name all my the vertices of the feasible region. Then find the maximum value of the given objective function.
Constraints
X is greater than or equal to 0
Y is greater than or equal to 0
Y is less than or equal to 1/3x + 3
5 is greater than or equal to x+Y
Objective function: C=6x4y
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1 answer

You have the two axes and two lines
I assume you can find the x and y intercepts of the lines.
The lines intersect where
1/3 x + 3 = 5x
(3/2, 7/2)
Now you can evaluate C at the vertices. 👍
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