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Convert the Objective Function into a Maximization Function w=y1+y2+5y3w=y_{1}+y_{2}+5 y_{3} Subject To

Question 170

Multiple Choice

Convert the objective function into a maximization function.
-Minimize w=y1+y2+5y3w=y_{1}+y_{2}+5 y_{3}
Subject to: y1+y328\mathrm{y}_{1}+\mathrm{y}_{3} \geq 28
y1+2y2+3y359\mathrm{y}_{1}+2 \mathrm{y}_{2}+3 \mathrm{y}_{3} \geq 59
2y1+3y2+2y3852 \mathrm{y}_{1}+3 \mathrm{y}_{2}+2 \mathrm{y}_{3} \geq 85
y10,y20,y30\mathrm{y}_{1} \geq 0, \mathrm{y}_{2} \geq 0, \mathrm{y}_{3} \geq 0


A) Maximize z=y1y25y3z=-y_{1}-y_{2}-5 y_{3}
B) Maximize z=y1y328z=-y_{1}-y_{3} \leq 28
C) Maximize z=y1+y2+5y3y4z=y_{1}+y_{2}+5 y_{3}-y_{4}
D) Maximize z=y12y23y359z=y_{1}-2 y_{2}-3 y_{3} \leq 59

Correct Answer:

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