Linear Programming (Solving system of inequalities)

[coloredmath]

Please solve this problem and compare your answer with mine!


Identify the vertices of the feasible region.

System of inequalities:
x+2y?3000
2x+2y?3600
3x+y?3600
x?0
y?0

Find the vertex that maximizes this equation:
P=50x+70y



I got:
Max P is reached at vertex (600, 1200).

Am I right? Or did I make a mistake that lead me to the wrong answer? Please help!

 

[mmm4444bot]

I arrived at the same answer.

 

[coloredmath]

Oh thank you for trying the problem! I feel much more confident that I got it right phew