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Convert the Constraints into Linear Equations by Using Slack Variables z=1.1x1+2.6x2z=1.1 x_{1}+2.6 x_{2}

Question 158

Multiple Choice

Convert the constraints into linear equations by using slack variables.
-Maximize z=1.1x1+2.6x2z=1.1 x_{1}+2.6 x_{2}
Subject to: 1.9x1+1.5x2351.9 x_{1}+1.5 x_{2} \leq 35
1) 6x1+1.5x2351) 6 x_{1}+1.5 x_{2} \leq 35
x10,x20x_{1} \geq 0, x_{2} \geq 0


A) 1.9x1+1.5x2+s1=351.9 \mathrm{x}_{1}+1.5 \mathrm{x}_{2}+\mathrm{s} 1=35
1) 6x1+1.3x2+s2=241) 6 \mathrm{x}_{1}+1.3 \mathrm{x}_{2}+\mathrm{s}_{2}=24
B) 1.9x1+1.5x2+s1351.9 \mathrm{x}_{1}+1.5 \mathrm{x}_{2}+\mathrm{s}_{1} \leq 35
1) 6x1+1.3x2+s2241) 6 \mathrm{x}_{1}+1.3 \mathrm{x}_{2}+\mathrm{s}_{2} \leq 24
C) 1.9x1+1.5x2+s1351.9 \mathrm{x}_{1}+1.5 \mathrm{x}_{2}+\mathrm{s}_{1} \geq 35
1) 6x1+1.3x2+s2241) 6 \mathrm{x}_{1}+1.3 \mathrm{x}_{2}+\mathrm{s}_{2} \geq 24
D) 1.9x1+1.5x2=s1+351.9 \mathrm{x}_{1}+1.5 \mathrm{x}_{2}=\mathrm{s} 1+35
1) 6x1+1.3x2=s2+241) 6 \mathrm{x}_{1}+1.3 \mathrm{x}_{2}=\mathrm{s}_{2}+24

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