What difference does it make to the worst-case scenario in Example 22.1 if (a) the options are

Question:

What difference does it make to the worst-case scenario in Example 22.1 if
(a) the options are American rather than European and
(b) the options are barrier options that are knocked out if the asset price reaches $65? Use the DerivaGem Applications Builder in conjunction with Solver to search over asset prices between $40 and $60 and volatilities between 18% and 30%