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Use the simplex method to solve.

```
Minimize w=24y_(1)+20y_(2)+90y_(3)
subject to: y_(1)+y_(2)+5y_(3)>=20
,2y_(1)+y_(2)+y_(3)>=22
with y_(1)>=0,y_(2)>=0,y_(3)>=0
```

The minimum is

`w=`

`◻`

when

`y_(1)=`

`◻`

`◻`

`y_(2)=`

, and

`y_(3)=`

`◻`

(Simplify your answers.)