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Maximize p=3x+5y+zp = 3 x + 5 y + z Subject To

Question 133

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Maximize p=3x+5y+zp = 3 x + 5 y + z
Subject to
2x6y+2z20x+3y4z11x0,y0,z0\begin{aligned}2 x - 6 y + 2 z & \leq 20 \\x + 3 y - 4 z & \leq 11 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}


A) p=116p = 116 , x=9x = 9 , y=14y = 14 , z=13z = 13
B) p=116p = 116 , x=13x = 13 , y=9y = 9 , z=14z = 14
C) p=116p = 116 , x=14x = 14 , y=9y = 9 , z=13z = 13
D) p=116p = 116 , x=14x = 14 , y=13y = 13 , z=9z = 9
E) no solution

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