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2x+y+t = 6
s>=0 , t>=0 , x>=0, y>=0
solve x y in terms of s and t
x = s-t+2, y = t-2s+2
P = 3x+4y = 3s-3t+6 +4t-8s+8 = t-5s+14
maximum at s=0 and maximize t,
s=0, we have x = 2-t>=0 , maximum t =2,
y= t+2 =4
and maximum = 16 = 3x+4y
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