Linear Programming: What is the Optimal Solution?

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Considered the following LP Problem:

Maximize profit= 5x+6y
Subject to 2x+y<120
2x+3y<240
X,y>0

a) What is the optimal solution to this problem? Solve it graphically
b) If a technical breakthrough occurred that raised the profit per unit of x to $8 would this affect the optimal solution?
c) Instead of an increase in the profit coefficient X to $ 8, suppose that profit was overestimated and should only have been $3. Does this change the optimal solution?

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