Use duality to solve the problem.
-Minimize $w=4 y_{1}+2 y_{2}$
Subject to: $3 \mathrm{y}_{1}+\mathrm{y}_{2} \geq 22$
$\mathrm{y}_{1}+4 \mathrm{y}_{2} \geq 26$
$\mathrm{y}_{1} \geq 0, \mathrm{y}_{2} \geq 0$
A) 32.7
B) 52
C) 22.5
D) 88

Question

Quizplus · Accepted Answer

The dual problem is solved using the constraints and objective function of the primal problem. The optimal solution for the dual gives the minimum value of the primal, which is 32.7.

Use Duality to Solve the Problem w=4y1+2y2w=4 y_{1}+2 y_{2}w=4y1​+2y2​ Subject To 3y1+y2≥223 \mathrm{y}_{1}+\mathrm{y}_{2} \geq 223y1​+y2​≥22

Use Duality to Solve the Problem $w=4 y_{1}+2 y_{2}$ Subject To $3 \mathrm{y}_{1}+\mathrm{y}_{2} \geq 22$