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Use the graphical solution approach to solve the following linear programming problem: Maximize

`12x+10Y`

Subject to:

```
4x+3Y<=480
2x+3Y<=360
x>=40
Y<=50
x,Y>=0
```

Answer to the following questions (please make sure that your numeric responses contain NO commas): a. The feasible region has corner point(s), b. The optimal solution is:

```
x=
Y=
```

c. The optimal value for the objective function, is equal to