Use the simplex method to solve.

Minimize

w$=24$y$1+20$y$2+80$y$3$

subject$$ to:

y$1+$

y$2+$

$4$y$3$

$>=15$

$2$y$1+$

y$2+$

y$3$

$>=22$

with

y$1>=0,$ y$2>=0,$ y$3>=0$

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Part $1$

The minimum is w$=$enter your response here when y$1=$enter your response here$,$ y$2=$enter your response here$,$ and y$3=$enter your response here.