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Convert the Constraints into Linear Equations by Using Slack Variables z=2x1+8x2z=2 x_{1}+8 x_{2}

Question 81

Multiple Choice

Convert the constraints into linear equations by using slack variables.
-Maximize z=2x1+8x2z=2 x_{1}+8 x_{2}
Subject to: x1+6x215x_{1}+6 x_{2} \leq 15
2x1+9x2252 x_{1}+9 x_{2} \leq 25
x10,x20x_{1} \geq 0, x_{2} \geq 0


A) x1+6x2+s115\mathrm{x}_{1}+6 \mathrm{x}_{2}+\mathrm{s}_{1} \leq 15
2x1+9x2+s2252 x_{1}+9 x_{2}+s_{2} \leq 25
B) x1+6x2+s115x_{1}+6 x_{2}+s_{1} \geq 15
2x1+9x2+s2252 \mathrm{x}_{1}+9 \mathrm{x}_{2}+\mathrm{s}_{2} \geq 25
C) x1+6x2=s1+15\mathrm{x}_{1}+6 \mathrm{x}_{2}=\mathrm{s}_{1}+15
2x1+9x2=s2+252 \mathrm{x}_{1}+9 \mathrm{x}_{2}=\mathrm{s}_{2}+25
D) x1+6x2+s1=15\mathrm{x}_{1}+6 \mathrm{x}_{2}+\mathrm{s}_{1}=15
2x1+9x2+s2=252 \mathrm{x}_{1}+9 \mathrm{x}_{2}+\mathrm{s}_{2}=25

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