SOLUTION: Find the maximum value of z = 7x + 3y subject to the contraints x >= 0 y >= 0 2x + y <= 4

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Question 43307: Find the maximum value of
z = 7x + 3y
subject to the contraints
x >= 0
y >= 0
2x + y <= 4
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
If you graph the three inequalities, you get a shaded right triangle whose vertices are at (0, 0), (2, 0), and (0, 4)
The maximum of 7x + 3y is found when x = 2...there y = 0 and the value is 14.
If you solve 2x + y <= 4 for y and plug it in, you get x + 12 as a max, again found by letting x = 2, and the value is 14...