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Find the maximum value of x+y given that

x>=-3
y>=5x-9
3x+y<=15

1 Answer

4 votes
x ≥ -3
y ≥ 5x - 9
3x + y ≤ 15

3(-3) + (5x - 9) ≤ 15
-9 + (5x - 9) ≤ 15
(-9 - 9) + 5x ≤ 15
-18 + 5x ≤ 15
+ 18 + 18
5x33
5 5
x ≤ 6.6
y ≤ 5(6.6) - 9
y ≤ 33 - 9
y ≤ 24
(x, y) ≤ (6.6, 24)
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