List of quantitative methods for optimization

[Bobishere]

Max: 3x + 5y
s.t. x + 2y ≤ 5
x ≤ 3
y ≤ 2
x,y ≥0

By the simplex method, the profit is $14. Using sensitivity analysis I changed the RHS of the 1st constraint and keeping everything else constant, I get the best profit value of $19 at RHS of 7.

What other methods can I use such as the sensitivity analysis to see the improvement in my profit? Please provide me with a list.

Thanks

 

[mfb]

The improvement in profit if you change what? With the given constraints, 14 is clearly the maximum.