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Use the Two-Stage Method to Solve x10x_{1} \geq 0 And x20x_{2} \geq 0

Question 176

Multiple Choice

Use the two-stage method to solve.
-Find x10x_{1} \geq 0 and x20x_{2} \geq 0 such that
3x1+3x2603 x_{1}+3 x_{2} \geq 60
2x1+5x21202 x_{1}+5 x_{2} \leq 120
And z=5x1+4x2z=5 x_{1}+4 x_{2} is maximized.


A) x1=40,x2=8,z=232x_{1}=40, x_{2}=8, z=232
B) x1=60,x2=0,z=300x_{1}=60, x_{2}=0, z=300
C) x1=0,x2=24,z=96x_{1}=0, x_{2}=24, z=96
D) x1=30,x2=20,z=230x_{1}=30, x_{2}=20, z=230

Correct Answer:

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