Use duality to solve the problem.
-Minimize $w=y_{1}+3 y_{2}+2 y_{3}$
Subject to: $\mathrm{y}_{1}+\mathrm{y}_{2}+\mathrm{y}_{3} \geq 50$
$2 \mathrm{y}_{1}+\mathrm{y}_{2} \geq 25$
$\mathrm{y}_{1} \geq 0, \mathrm{y}_{2} \geq 0, \mathrm{y}_{3} \geq 0$
A) 75
B) 12.5
C) 87.5
D) 50

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The Answer of Use duality to solve the problem.
-Minimize $w=y_{1}+3 y_{2}+2 y_{3}$
Subject to: $\mathrm{y}_{1}+\mathrm{y}_{2}+\mathrm{y}_{3} \geq 50$
$2 \mathrm{y}_{1}+\mathrm{y}_{2} \geq 25$
$\mathrm{y}_{1} \geq 0, \mathrm{y}_{2} \geq 0, \mathrm{y}_{3} \geq 0$
A) 75
B) 12.5
C) 87.5
D) 50

Use Duality to Solve the Problem w=y1+3y2+2y3w=y_{1}+3 y_{2}+2 y_{3}w=y1​+3y2​+2y3​ Subject To y1+y2+y3≥50\mathrm{y}_{1}+\mathrm{y}_{2}+\mathrm{y}_{3} \geq 50y1​+y2​+y3​≥50

Use Duality to Solve the Problem $w=y_{1}+3 y_{2}+2 y_{3}$ Subject To $\mathrm{y}_{1}+\mathrm{y}_{2}+\mathrm{y}_{3} \geq 50$