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Convert the Constraints into Linear Equations by Using Slack Variables z=3x1+5x2z=3 x_{1}+5 x_{2}

Question 177

Multiple Choice

Convert the constraints into linear equations by using slack variables.
-Maximize z=3x1+5x2z=3 x_{1}+5 x_{2}
Subject to: 3x1+3x2303 x_{1}+3 x_{2} \leq 30
x1+4x240x_{1}+4 x_{2} \leq 40
x10,x20x_{1} \geq 0, x_{2} \geq 0


A) 3x1+3x2=s1+303 x_{1}+3 x_{2}=s 1+30
x1+4x2=s2+40\mathrm{x}_{1}+4 \mathrm{x}_{2}=\mathrm{s}_{2}+40
B) 3x1+3x2+s1=303 x_{1}+3 x_{2}+s_{1}=30
x1+4x2+s2=40\mathrm{x}_{1}+4 \mathrm{x}_{2}+\mathrm{s}_{2}=40
C) 3x1+3x2+s1303 x_{1}+3 x_{2}+s_{1} \geq 30
x1+4x2+s240\mathrm{x}_{1}+4 \mathrm{x}_{2}+\mathrm{s}_{2} \geq 40
D) 3x1+3x2+s1303 x_{1}+3 x_{2}+s_{1} \leq 30
x1+4x2+s240\mathrm{x}_{1}+4 \mathrm{x}_{2}+\mathrm{s}_{2} \leq 40

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