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Use the Simplex Method to Solve the Linear Programming Problem z=x1+3x2+x3+2x4z=x_{1}+3 x_{2}+x_{3}+2 x_{4}

Question 116

Multiple Choice

Use the simplex method to solve the linear programming problem.
-Maximize z=x1+3x2+x3+2x4z=x_{1}+3 x_{2}+x_{3}+2 x_{4}
Subject to: 2x1+x2+5x3+6x4252 x_{1}+x_{2}+5 x_{3}+6 x_{4} \leq 25
5x1+3x2+4x3+x4605 x_{1}+3 x_{2}+4 x_{3}+x_{4} \leq 60
With
x10,x20,x30,x40x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0, x_{4} \geq 0


A) Maximum is 50 when x1=0,x2=0,x3=0,x4=25x_{1}=0, x_{2}=0, x_{3}=0, x_{4}=25
B) Maximum is 75 when x1=0,x2=25,x3=0,x4=0x_{1}=0, x_{2}=25, x_{3}=0, x_{4}=0
C) Maximum is 36 when x1=0,x2=10,x3=0,x4=3x_{1}=0, x_{2}=10, x_{3}=0, x_{4}=3
D) Maximum is 60 when x1=0,x2=20,x3=0,x4=0x_{1}=0, x_{2}=20, x_{3}=0, x_{4}=0

Correct Answer:

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